Long division with a remainder in the quotient

When we divide a number by another number we can use the long division method. Let’s have a look at an example: 67 divided by 3. We start by drawing a horizontal line, and writing both the dividend and the divisor below the line. The divisor to the left, and the dividend to the right. We will calculate digit by digit, starting from the first number of the dividend, the six.

3 goes into 6 two times. Write a 2 above the horizontal line. This is the beginning of the quotient, the answer. 3 times 2 is 6. Write this below the six in the dividend.

6 minus 6 is 0. Bring the seven down from the dividend, and write it next to the zero. 3 goes into 7 two times. Write a two in the quotient. 3 times 2 is 6.

Write this below the seven you brought down from the dividend. And then we subtract. 7 minus 6. This is 1. We get a remainder of 1.

We write remainder 1, after the quotient. So 67 divided by 3 equals 22, with a remainder of 1. Here’s another example. 839 divided by 4. We will use long division, and prepare it the usual way.

One long line with the dividend and the divisor below. Start calculating from the left in the dividend, with the eight. 4 goes into 8 two times. Write a 2 in the quotient, above the line. 4 times 2 is 8.

Write this below the eight in the dividend. And 8 minus 8 is 0. Bring the three down from the dividend. 4 goes into 3 zero times. Write a 0 after the two in the quotient, above the line.

4 times 0 is 0 and 3 minus 0 is 3. Bring the nine down. Together, 3 and 9 form the number 39. We can use the four times table. 4 times 9 is 36 4 times 10 is 40.

So 4 goes into 39 nine times. And now we have a remainder of 39 minus 36, which is 3. We write remainder 3 next to the quotient. And the result of the calculation is 209 remainder 3.