How many times does 13 go into 102?

Answer 1

Since 102 is larger than 13, your answer is going to be a fraction, represented as a decimal number.

If we do this longhand:

________

102 / 13

You need to add a zero to the 13 to give you something big enough to divide 102 into. Whenever you do this in long division, you must put a decimal at that position in the answer:

0.______

102 / 130

You can put 102 into 130 exactly once, with a remainder of 28:

0.1______

102 / 130

-102

-----

28

Again, 28 isn't big enough to divide 102 into, so we add a zero. This time, 102 can go into 280 twice, with a remainder of 76:

0.12____

102 / 130

-102

-----

280

-204

-----

76

We need to add a zero to 76, but 760 is a much bigger number than the others, so 102 can go into it 7 times, with a remainder of 46:

0.127____

102 / 130

-102

-----

280

-204

------

760

-714

-------

46

At this point your answer is 0.127. Basically just keep doing this process until you get the number of decimal places in your answer that your teacher has requested.