4th Grade - Division

# 1 - Division

## Division with quotient and remainder

To do a division and get the result on the form of a quotient and a remainder, for example to calculate 1458 ÷ 6, you write down the two numbers in a drawing like this one.

You look at the first figure of the first number, here 1. You count "in 1 how many times 6?". If the result is greater than or equal to 1, you do the division using the following method. If the result is zero, you use the first two figures of the first number in order to do the first division. So you count "in 14 how many times 6? ".

In 14 there are 2 times 6 so you write down 2 in the spot on the right. Then you multiply 2 by 6, you write down the result (12) below the 14 and you do a subtraction. You get 2.

Then you write down the next figure on the right of the 14 and you do the same with the number you got (25). In 25 how many times 6? The answer is 4 times. Then 4x6 = 24 and 25 - 24 = 1.

Then you write down the 8 and carry on with the same method.

When there is no more number to write down, you can read in the spot on the right the quotient of the division; and below, on the left, the remainder. In our example, the quotient is 243 and the remainder is 0, that is to say there is no remainder..

## Division with decimal result

When the remainder of the division is not equal to zero, you can carry on doing the division to get a decimal number with as many numbers after the point as you want. For example for the following division you find a quotient of 176, and the remainder is 2.

To go on calculating you write down a zero after the number on top, and you write it down on the right of the remainder. You also have to write a point on the right of the quotient.

Then you can go on calculating as long as you want adding each time a zero and writing it down.

## Division with large numbers

There is no difference when you divide with large numbers. The calculations are just a little harder to do.

>>> Lesson on fractions >>>