How to divide 969 by 26?

y1i2de1o64w

y1i2de1o64w

Answered question

2023-01-08

How to divide 969 by 26?

Answer & Explanation

lilreeneyyh9

lilreeneyyh9

Beginner2023-01-09Added 7 answers

To divide 969 by 26, let's first set this up the problem this way:
969÷26
The largest number that 26 can be multiplied by in order to reach (but not exceed) the number 969 is what we are looking for when we divide a smaller number into a larger one. Finding how many hundreds, then how many tens, then how many ones, and so on, makes it simpler to accomplish that (we can continue working our way through into decimals or we can opt to have a remainder).
So let's give that a try:
We must ask if there is a number that 26 can be multiplied by to get to (but not exceed) 9 in order to determine if there are any hundreds in our response. And no, that's the answer. Okay, so our response does not include hundreds.
Since we didn't find an answer in the hundreds, we now need to move to the tens.
To find out if there are any tens in our answer, we need to ask if there is any number that 26 can be multiplied by to get to (but not go over) 96? And the answer is 3 (263=78 which is under but 264=104 which is over). So our answer is thirty and something.
9678=18 - that is the amount left over from finding the tens and so must be included when trying to find the ones.
To find out if there are any ones in our answer, we need to ask if there is any number that 26 can be multiplied by to get to (but not go over) 189 (we take what we didn't deal with in the tens (18) and drop down as the next digit the 9 from the ones place in 969)? And the answer is 7 (267=182 which is under but 268=208 which is over). So our answer is 37 and something.

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