How do you do 17 divided by 527 with bus stop method?

Answer 1

0.0323

Answer 2

17 divided by 527 is 17 ÷ 527, which by the bus stop method is:

(There are three steps not indicated below:

1) 527 doesn't divide into 1, so put 0 (or blank) above the 1, now consider 17

2) 527 doesn't divide into 17, so put 0 above the 17. We have run out of digits in the dividend (number being divided into), so put a decimal point after the dividend with lots of zeros following it (doesn't change the value) and a decimal point immediately above the decimal point in the answer - this is commented below.

3) 527 doesn't go into 170 so put 0 above the 0.

Now we're considering 1700 below)

.........0.03225

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

527|17.00000......put in decimal point and lots of trailing zeros

......|15.81............527 x 3 is highest multiple not bigger than 1700; put 3 in answer above 0

.......------.............subtract 1581 from 1700

.........1.190...........result of subtraction, bring down next digit (0)

.........1.054...........527 x 2 is highest multiple not bigger than 1190; put 2 in answer above 0

.........------...........subtract 1054 from 1190

............1360.........result of subtraction, bring down next digit (0)

............1054.........527 x 2 is highest multiple not bigger than 1360; put 2 in answer above 0

............-----.........subtract 1054 from 1360

..............3060.......result of subtraction, bring down next digit (0)

..............2635.......527 x 5 is highest multiple not bigger than 3060; put 5 in answer above 0

..............-----........subtract 2635 from 3060

................425.......result of subtraction

As you can see, it goes on and on; I'll stop at that point, giving the answer of 0.03226 (rounded up since 425 is more than half of 527), but you could continue until you have got the answer to the required degree of accuracy.

I suspect you really meant:

How do you do 17 divided into 527 with the bus stop method?

17 divided into 527 is the same as 527 divided by 17 which is 527 ÷ 17, which by the bus stop method is:

.......31

....-----

17|527......17 doesn't go into 5, so either leave blank or put 0 over 5, now try 17 into 52

....|51.........17 x 3 is highest multiple of 17 not bigger than 52; put 3 in answer above 2

.....---.........subtract 51 from 52

........17.......result of subtraction, bring down next digit (7)

........17.......17 x 1 is highest multiple of 17 not bigger than 17; put 1 in answer above 7

........--........subtract 17 from 17

.........0........result of subtraction, there are no more digits to bring down and it is 0 ⇒

answer found

Thus 17 divided into 527 (how the "bus stop" reads) is 31.

If the result of the last subtraction was not zero, this is the remainder, or by adding a decimal point to the end and lots of trailing zeros (as above) the division can be continued to give decimals as required.