Long division:

75 goes into 600 eight times, now multiply the 75 times 8:

5x8 = 40, put down the zero and carry the four.

7x8 = 56, plus the carried four, is 60.

So 75 x 8 is 600. Therefore 0.75 x 800 is 600.

Therefore 0.75 x 813 is NOT six hundred!

# How do you divide 600 by 0.75?

My calculator gets exactly 800 but when I try to do it via long division I get 8.13.

## 10 Answers

- 00
- See cidya's answer. The position of the decimal point in your answer 8.13 says that the first mistake in your long division was not adjusting the decimal point position to account for the divisor being a fraction.

That's the "multiply by 100" step in cidyah's answer...moving the decimal place right 2 places in both numbers (divisor and dividend) so that the divisor is a whole number.

Next, it looks like you got 8 right as the first digit, but somehow multiplied 75 by 7 instead of 8 to get 725 instead of 800. That would lead to 0.13 as an approximate fraction after rounding.00 - 600 = 2 * 300

600 = 2 * 2 * 150

600 = 2 * 2 * 2 * 75

600 = 2 * 2 * 2 * 3 * 25

600 = 2 * 2 * 2 * 3 * 5 * 5

0.75 = 3 * 0.25

0.75 = 3 * (25/100)

0.75 = 3 * (5 * 5/100)

0.75 = (3 * 5 * 5)/100

= 600 / 0.75

= (2 * 2 * 2 * 3 * 5 * 5) / [(3 * 5 * 5)/100] → you can simplify by 3

= (2 * 2 * 2 * 5 * 5) / [(5 * 5)/100] → then by 5

= (2 * 2 * 2 * 5) / [5/100] → then by 5

= (2 * 2 * 2) / [1/100] → to divide by (a/b) is similar to multiply by (b/a)

= (2 * 2 * 2) / [100/1] → you know that: 100/1 = 100

= (2 * 2 * 2) / 100

= 80000 - The good Lord only knows how you are getting 8.13 by doing it manually.

600 / (3/4) is the same as 600 * 4 / 3.00 - 600 / 3/4=600 * 4/3=200 * 4=80000
- 80000
- 600/0.75=800.00
- .75 = 3/4

When you divide whole numbers by fractions, one way to do this is to rewrite the decimal as a fraction and multiply the whole number bu the fraction's reciprocal.

600/.75 = 600/(3/4) = 600 * 4/3 = 2400/3 = 80000 - 8.13 says that the first00
- 0.75 is 3/4

600/(3/4) = 600*(4/3) = 2400/3 = 80000

### Trending

- Chico is financing a car for 9,500 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per 100 is 3.18?
- What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
- The function?
- Distance from flag pole?
- Hi this is not a joke. my calculator is broken so can you help me figure out 9 plus 10. Thank you?
- Salary making $34.00 an hour working 28 hours a week?
- If a is subtracted from b, does it mean a-b or b-a?
- When we compare Warren's 0.4 percent native American DNA to the national average of 0.18 percent, which statement is most accurate?
- How do you work out this maths problem? A team won 1/5 of their matches and drew 1/10 of them. What fraction of matches did they lose?
- If pi is really a constant as my teacher claims, then how come big circles have greater area than small ones?