I never understood how to do long division. Can you please go through the steps with me?
ex) 39/15.405
First, move the decimal point in the dividend to make it a whole number -- 15405.
Next, add zeroes and move the decimal point the same number of places in the divisor -- 39000.
This website shows graphically how to do the problem from here.
http://www.mathsisfun.com/long_division2.html
THANKS!!!
My math is correct -- but my terminology is wrong.
The divisor is 15.405. The dividend is 39.
Sure! I can help you with long division. Here's how you can solve the problem 39 divided by 15.405.
1. Write the divisor (15.405) and the dividend (39) in the long division format. Place the divisor outside the division bracket and the dividend inside the bracket.
_______________
15.405 | 39
2. Determine how many times the divisor can go into the first digit (or digits) of the dividend. In this case, 15.405 cannot go into 3, so you would bring down the next digit, which is 9.
_______________
15.405 | 39
3. Divide the dividend's first two digits by the divisor (15.405). In this case, 15.405 can go into 39 two times. Write this quotient above the long division line.
_______________
15.405 | 39
2
4. Multiply the quotient (2) by the divisor (15.405) and write the result under the dividend.
_______________
15.405 | 39
2
- 30.81
5. Subtract the result obtained in step 4 from the dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
6. Bring down the next digit from the dividend (in this case, 5) and continue dividing. Now, you have 81.9 as the new dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
7. Determine how many times the divisor can go into the first digit (or digits) of the new dividend. In this case, 15.405 can go into 81 nine times. Write this quotient above the line.
_______________
15.405 | 39
2
- 30.81
_______
8.19
7
8. Multiply the new quotient (9) by the divisor (15.405) and write the result under the new dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
7
- 7.2435
9. Subtract the result obtained in step 8 from the new dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
- 7.2435
_______
9465
10. At this point, you can either bring down the next digit or stop if you've run out of digits in the dividend. As we can see, the dividend still has a digit left. Bring down the next digit, which is 0, and continue dividing.
_______________
15.405 | 39
2
- 30.81
_______
8.19
- 7.2435
_______
9465
0
11. Determine how many times the divisor can go into the first digit (or digits) of the new dividend. In this case, 15.405 can go into 94 six times. Write this quotient above the line.
_______________
15.405 | 39
2
- 30.81
_______
8.19
- 7.2435
_______
9465
06
12. Multiply the new quotient (6) by the divisor (15.405) and write the result under the new dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
- 7.2435
_______
9465
06
- 92.43
13. Subtract the result obtained in step 12 from the new dividend.
_______________
15.405 | 39
2
- 30.81
_______
8.19
- 7.2435
_______
9465
06
- 92.43
________
1.57
14. At this point, you've run out of digits in the dividend. Since the result you obtain (1.57) is less than the divisor (15.405), you can stop here. The final result is 2.606 (with 3 decimal places).
Therefore, 39 divided by 15.405 equals 2.606.