We look at the division of 91902109 by 687 
We're looking to find how many times 687 goes into 91902109.

Step 1:
When dividing 9 by 687, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 687

Let's proceed to step 2:
91 divided by 687 is 0 with a remainder of 91.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 91, we get 91.
Fetch the next digit (9) from the dividend, attach it to 91 and continue: 919 / 687

Moving on to step 3:
The number 687 fits into 919 1 times, leaving a remainder of 232.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 687 from 919, we get 232.
Fetch the next digit (0) from the dividend, attach it to 232 and continue: 2320 / 687

Let's proceed to step 4:
When dividing 2320 by 687, we get 3 with a remainder of 259.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 259 after subtracting 2061 from 2320.
Grab the next digit (2) from the dividend, add it to 259, then carry on: 2592 / 687

On to step 5:
687 can be fit into 2592 3 times, resulting in a remainder of 531.
The number 3 becomes the next digit in our result. 
Result so far: 133.0
Deduct 2061 from 2592 and we're left with 531.
Include the next digit (1) from the dividend after 531, then repeat: 5311 / 687

On to step 6:
When dividing 5311 by 687, we get 7 with a remainder of 502.
Put 7 as the next digit of the answer. 
Result so far: 1337.0
The remainder is 502 after subtracting 4809 from 5311.
Take the next digit (0) from the dividend and append it to 502, then repeat: 5020 / 687

Let's proceed to step 7:
The number 687 fits into 5020 7 times, leaving a remainder of 211.
Write down 7 as next digit of the result. 
Result so far: 13377.0
Subtracting 4809 from 5020 leaves us with 211.
Fetch the next digit (9) from the dividend, attach it to 211 and continue: 2119 / 687

Step 8:
2119 divided by 687 is 3 with a remainder of 58.
Write down 3 as next digit of the result. 
Result so far: 133773.0
Deduct 2061 from 2119 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
687 goes into 580 0 times with a remainder of 580.
Use 0 as the next digit of our solution. 
Result so far: 133773.0
Subtracting 0 from 580 leaves us with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 10:
5800 divided by 687 is 8 with a remainder of 304.
The next digit of our result is 8. 
Result so far: 133773.08
If we take 5496 away from 5800, we end up with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Step 11:
If we divide 3040 by 687, we get 4 and a remainder of 292.
Record the quotient 4 as the next digit in the result. 
Result so far: 133773.084
The remainder is 292 after subtracting 2748 from 3040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Advancing to step 12:
687 can be fit into 2920 4 times, resulting in a remainder of 172.
Use 4 as the next digit of our solution. 
Result so far: 133773.0844
If we take 2748 away from 2920, we end up with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

After the division, we end up with 133773.0844 and a remainder of 0.00172.