Written divisions

Mathematics - grade 4. Learning to divide by one-digit, two-digit numbers and with the rest.

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Divide a number in writing by a single-digit number

Dividing a number in writing with the so-called rest

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We start the operation like the previous written divisions.

Save any action and a dash above it (as in the picture below).

Above the dash we will write the quotient (ie the result of the division).

We start the division with the digit in the highest dividend row (from the left).

We check how many times 5 goes into 3 - we know that it does not fit even once, i.e. 0.

We do not write the number 0 above the line, we only keep the number 3 above it in our memory.

Then we do the multiplication.

We multiply 0 by 5, so 0 * 5 = 0

The result of the multiplication, i.e. 0, is written under the number 3 and we perform the subtraction (3-0 = 3).

We mark off and to the obtained difference 3 we add the next dividend number, i.e. 2.

We got the number 32.

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Divide a number in writing by a two-digit number.

So we got a two-digit number 32, we check how much in the result 32 is 5.

In the number 32 there are six fives, i.e. above the dash, above the number 2 we enter the number 6, then we go to the multiplication as we did before (6 * 5 = 30).

Rewrite the result under the number 32 and perform the subtraction (32-30 = 2).

3-3 = 0, therefore, after deleting it underneath, enter the = sign, which means 0.

2-0 = 2, so after deleting underneath, we rewrite the number 2 and add the next dividend (in our case, the last number).

We deal with the division in writing by a two-digit number in the same way as for a single-digit division, as shown in the picture.

Let's just remember that now we look at how many times a given number fits the whole number (in our case it is the number 20).

We got another two-digit number 25, so we check how much 5 is in it - this number fits us exactly 5 times.

And just like before, we write 5 above the dash above the number 5 and start the multiplication (5 * 5 = 25).

We subtract the result of the multiplication (25-25 = 0).

2-2 = 0, so we cross off and write =

5-5 = 0, so after deletion we also write =.

Our action is over.

The number obtained above the dash above the dividend is the result of our division.

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When we are at the last stage of our calculations, we are looking for the largest number of the divisor of 7 that is in our example in the number 34 - we got 4 times. We calculate:

4 * 7 = 28 and we go to the subtraction: 34-28 = 6

The number 6 is our rest.

Write the result: 1224: 7 = 174r6

(read. One thousand two hundred and twenty-four divided by seven equals one hundred and seventy-four and six remainder.

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the rest is denoted by the letter - r

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