Divide Whole Numbers: example 1.65

Divide and then check by multiplying: $1,461 \div 13 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Divide. Then check by multiplying: $1,493 \div 13 .$

How did it go?

Divide and then check by multiplying: $1,461 \div 13 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Divide. Then check by multiplying: $1,493 \div 13 .$

How did it go?

Let's rewrite the problem to set it up for long division.	$13 1,461$
First we try to divide 13 into 1. Since that won't work, we try 13 into 14. There is 1 thirteen in 14. We write the 1 over the 4.
Multiply the 1 by 13 and subtract this product from 14.
Now bring down the 6 and repeat these steps. There is 1 thirteen in 16. Write the 1 over the 6. Multiply the 1 by 13 and subtract this product from 16.
Now bring down the 1 and repeat these steps. There are 2 thirteens in 31. Write the 2 over the 1. Multiply the 2 by 13 and subtract this product from 31. There are no more numbers to bring down, so we are done. The remainder is 5. $1,462 \div 13$ is 112 with a remainder of 5.
Check by multiplying.

Let's rewrite the problem to set it up for long division.	$13 1,461$
First we try to divide 13 into 1. Since that won't work, we try 13 into 14. There is 1 thirteen in 14. We write the 1 over the 4.
Multiply the 1 by 13 and subtract this product from 14.
Now bring down the 6 and repeat these steps. There is 1 thirteen in 16. Write the 1 over the 6. Multiply the 1 by 13 and subtract this product from 16.
Now bring down the 1 and repeat these steps. There are 2 thirteens in 31. Write the 2 over the 1. Multiply the 2 by 13 and subtract this product from 31. There are no more numbers to bring down, so we are done. The remainder is 5. $1,462 \div 13$ is 112 with a remainder of 5.
Check by multiplying.