Let's divide 637132 by 6
Our goal is to divide 637132 by 6.

Moving on to step 1:
When dividing 6 by 6, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 6 away from 6, we end up with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 6

On to step 2:
The number 6 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 6

Step 3:
When dividing 37 by 6, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtracting 36 from 37 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 6

On to step 4:
When dividing 11 by 6, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1061.0
The remainder is 5 after subtracting 6 from 11.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 6

Advancing to step 5:
6 can be fit into 53 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 10618.0
Subtracting 48 from 53 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 6

Going ahead to step 6:
52 divided by 6 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 106188.0
Subtract 48 from 52 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 6 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 106188.6
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
If we divide 40 by 6, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 106188.66
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 106188.66 with a remaining 0.004.