College

Practice dividing with decimals.

Divide: [tex]83.5 \div 6.25[/tex]

The first step in solving [tex]83.5 \div 6.25[/tex] is to multiply the divisor and dividend by 100.

The new division problem is [tex]8350 \div 625[/tex].

Answer :

To divide 83.5 by 6.25, we need to simplify the problem by removing the decimals. Here's how you can do it step-by-step:

1. Eliminate the Decimals:
We begin by multiplying both the divisor (6.25) and the dividend (83.5) by 100. This step is necessary to shift the decimal two places to the right, turning both numbers into whole numbers.

- Multiply 83.5 by 100 to get 8350.
- Multiply 6.25 by 100 to get 625.

2. Set Up the New Division Problem:
After multiplying, your new division problem is 8350 divided by 625.

3. Perform the Division:
Now, divide 8350 by 625 to find the quotient.

- 8350 ÷ 625 = 13.36

So, the result of 83.5 ÷ 6.25 is 13.36.