How do you do 8 divided by 1026 long division?

Answer 1

0.0078

Answer 2

You can always append zeros at the end of a number AFTER a decimal point without changing the value of the number.

8 ÷ 1026 is:

__________0.007797..._______ put a decimal point in the result over the decimal point in the dividend

__________------------________

____1026|8.00000..._______

___________7182____________ 1026 does not go into 8, 80 nor 800, so 0s go over the 8 and the first 2 0s

___________-------___________ 7 now goes over the 3rd zero and 7×1026 = 7182 which is subtracted

_____________8180_________ bring the next 0 down

_____________7182_________ again 7×1026 is the maximum so a 7 goes over the 0 brought down

_____________------_________ subtract 7×1026

______________9980________ bring down the next 0

______________9234________ now 9×1026 is the maximum so a 9 goes over the 0 brought down

______________------________ subtract 9×1026

_______________7460_______ bring down the next 0

_______________7182_______ now 7×1026 is the maximum so put 7 over the 9 brought down

_______________------_______ subtract 7×1026

________________278_______

and so on, bringing 0s down until the required degree of accuracy has been reached.

→ 8 ÷ 1026 ≈ 0.00780