The large division is the ideal preparation for the written division. With the large division, dividing with a one-digit and multi-digit divisor is introduced. At the same time, the number range is expanded into the millions. All major divisions with one or more digit divisors are practiced. The perfect connection to the small division board.

Use, advantages, areas of application for this Montessori material:

• • Practice division problems with a multi-digit divisor

• • Calculate large shared tasks within reach

• • Understand and learn from large division tasks

• • Preparation for the written division

• Montessori material from 6 years

Scope of the mathematical Montessori material:
1 tray, wood, approx. 58 x 21 x 4 cm
7 tube holders, wood, approx. 13 x 5 x 3 cm
70 tubes, plastic, approx. 7.2 x 1.2 cm
7 wood Bowl, approx. 6 x 3.5 cm
1 storage box for wooden figures
9 blue wooden figures
9 red wooden figures
18 green wooden figures
4 boards for division, wood, approx. 22.5 x 22.5 cm
200 blue beads, approx. 7 mm beads
200 red pearls diameter , approx. 7 mm diameter
300 green pearls, approx. 7 mm diameter pearls

Instructions for the large Montessori division single-digit divisor

The stands with the glass tubes and the wooden bowls are arranged:
The white stands represent ones (green pearls), tens (blue pearls) and hundreds (red pearls). The ones are on the far right, on the left the tens, on the left the hundreds.
The gray stands represent the thousands (green pearls = thousands; blue pearls = tens of thousands; red pearls = hundreds of thousands). The following are placed next to the hundreds stand from right to left: the thousands, the tens of thousands and the hundreds of thousands. On the far left is the black stand that represents the million.
The bowls are assigned to the stands and number categories. The bowls, which are white on the outside, belong to the ones (white outside, green inside), tens (white outside, blue inside) and hundreds (white outside, red inside). The gray ones are assigned to the thousands and the black to the million.

For tasks with a one-digit divisor, the units calculator (green border) and the corresponding green cone are required.

A task is noted, e.g.

4264: 2 =

the number 4264 is the dividend - the number 2 is the divisor.

The number 4264 is represented by the pearls. From the green single pearls from the white stands
four ones are counted in the designated bowl. 6 blue tens pearls are counted in the tens bowl, two red hundreds pearls in the hundreds bowl and four green thousand pearls (from the gray thousand stands) in the thousands bowl.

The divisor is represented by two green cones. These are placed in the green border of the units calculation board on fields 1 and 2.

The calculation can now be started.
The four thousand pearls are evenly distributed between the two cones. Result: Each cone receives two pearls. The partial result two is noted (preferably in the pearl color). The single pearls are no longer required and are returned to the corresponding glass tube.
Then the two hundred pearls are distributed and the result 1 is written in the appropriate color to the right of the 2. These pearls are also put back.
After the six tens of pearls have been divided and the result 3 noted, the pearls are poured into the tens glass tube. The same procedure is used with the single pearls.
The final result 2132 can now be read.

Instructions for the large division of multi-digit divisors

The stands with the glass tubes and the wooden bowls are arranged:
The white stands represent ones (green pearls), tens (blue pearls) and hundreds (red pearls). The ones are on the far right, on the left the tens, on the left the hundreds.

The gray stands represent the thousands (green pearls = thousands; blue pearls = tens of thousands; red pearls = hundreds of thousands). The following are placed next to the hundreds stand from right to left: the thousands, the tens of thousands and the hundreds of thousands. On the far left is the black stand that represents the million.
The bowls are assigned to the stands and number categories. The bowls, which are white on the outside, belong to the ones (white outside, green inside), tens (white outside, blue inside) and hundreds (white outside, red inside). The gray ones are assigned to the thousands and the black to the million.

For tasks with a two-digit divisor, the units calculation board (green border) and the corresponding green cones, as well as the blue-bordered tens board with the blue cones are required.

A task is noted, e.g.

2805: 15 =

the number 2805 is the dividend - the number 15 is the divisor.

The number 2805 is represented by the pearls. From the green one-pearls from the white stand, five ones are counted in the small bowl provided. The ten bowl remains empty, eight red hundred pearls are counted in the hundred bowl and two green thousand pearls (from the gray thousand stands) are counted in the thousand bowl.

The divisor is represented by five green cones on the units board and one blue cone on the blue bordered tens board.

Since the blue cones each stand for ten, they also get ten times as much compared to the ones cones.

The calculation can now be started.

The pearls are distributed as follows:

The blue ten cone gets a thousand pearl; each one-cone gets a hundred-pearl. The second thousand-pearl can no longer be distributed to the ten-cone, since the hundred-pearls would no longer be sufficient.
The intermediate result is read on the units board (here 1 - the amount of pearls that a units cone has) and noted.
The pearls currently on display are put back into the glass tubes.

Now the thousand pearl is exchanged for ten hundred pearls. In order to be able to continue calculating, one hundred pearls must be exchanged for ten tens pearls, since the tens bowl is empty.

Now the pearls can be distributed further. For every hundred pearl that is placed under the blue tens cone, each unit cone receives a tens pearl. When the tens bowl is empty, another one hundred pearl is exchanged for ten tens pearls.

What remains are a hundred pearls and the five ones pearls. The second intermediate result is noted (here 8 - the number of pearls that a one-cone has) and the pearls on the table are returned to the glass tubes.

The hundred pearls are exchanged for ten tens pearls.
For every ten-pearl that is placed under the blue cone, each green cone receives a unit pearl. If there are not enough ones-pearls, a tens-pearl is exchanged.
After all, there are now seven pearls under each green cone. This number (7) is noted again.

The final result 187 can now be read.