How do you do Long Division for 5 divided by 759?

Answer 1

0.0066

Answer 2

"5 divided by 759" is the same as "759 divided into 5":

............................. see notes that follow

....... 0 . 0 0 6 5 8 .......... 3, 14

....... --------------

759 | 5 . 0 0 0 0 0 .......... 1, 2

...... 4 . 5 5 4 ............... 4, 5, 6, 7

...... ----------

........... 4 4 6 0 ............. 8

........... 3 7 9 5 ............. 9

........... --------

.............. 6 6 5 0 .......... 10

.............. 6 1 5 2 .......... 11

.............. --------

................. 4 9 8 .......... 12, 13

1. write the "759" outside the "bus stop" (as it is going to divide into the number under the "bus stop") and the "5" under the "bus stop";
2. put a decimal point after it followed by a few (5) zeros;
3. put a decimal point in the answer above the decimal point after the 5.
4. 759 does not divide into 5, so put a zero over the 5;
5. 759 does not divide into 50, so put a zero over the first zero after the decimal point
6. 759 does not divide into 500, so put a zero over the second zero after the decimal point
7. 759 does divide into 5000; it goes 6 times, so put a 6 over the next zero, 6 x 759 = 4554 under the 5000
8. subtract to get 446 and bring the next digit (a zero) down
9. 759 divides into 4660 5 times; put a 5 over the digit (zero) brought down and 5 x 759 = 3795 under the 4460
10. subtract to get 665 and bring the next digit (a zero) down
11. 759 divides into 6650 8 times; put an 8 over the digit (zero) brought down and 8 x 759 = 6152 under the 6650
12. subtract to get 498; this could continue with more zeros after the last zero under the bus stop, but:
13. we'll give the answer to three significant figures; 498 is greater than half 759 (= 379.5), so round up
14. Read off the answer from over the "bus stop", but remembering to round up the last digit.

→ 5 ÷ 759 ≈ 0.00659