Long multiplication

It is very simple to make a long division by hand, if you know the method.

We recommend, however, that you practice the multiplication tables first.

The best way to explain, how a long multiplication is carried out, is by an example.

Example of the multiplication of 24 and 341

 2 4 * 3 4 1 0
First the multiplication problem is set up like this. Since 24 is a number of two digits, the second row starts with zerro. Had the number 24 been another number consisting of three digits instead, there would have been a third row in the setup starting with two zeroes. Had it been a number consisting of four digits, there would have been a fourth row in the setup starting with three zeroes and so forth.

 2 4 * 3 4 1 4 0
We calculate 4 × 1 = 4, and write 4 on the first place in the first row.

 1 2 4 * 3 4 1 6 4 0
We calculate 4 × 4 = 16 and write 6 on the second place in the upper row and carry the 1 over the 3.

 1 2 4 * 3 4 1 1 3 6 4 0
We calculate 4 × 3 + 1 =13 (because 1 is carried over the 3). We write 3 on the third place and 1 on the fourth place in the upper row, because there are no more digits left to carry the 1 over to.

 2 4 * 3 4 1 1 3 6 4 2 0
We calculate 2 × 1 = 2. We write 2 on the second place in the lower row.

 2 4 * 3 4 1 1 3 6 4 8 2 0
We calculate 2 × 4 = 8. We write 8 on the third place in the lower row.

 2 4 * 3 4 1 1 3 6 4 6 8 2 0
We calculate 2 × 3 = 6. We write 6 on the third place in the lower row.

 2 4 * 3 4 1 1 3 6 4 6 8 2 0 8 1 8 4
Finaly we add the two numbers together.

The result is 8184.

Long Multiplication

 Number 1: Number 2: