We divide 100557 by 37
We want to figure out the number of times 100557 can be divided by 37.

On to step 1:
37 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 37

Going ahead to step 2:
10 divided by 37 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 37

Going ahead to step 3:
When dividing 100 by 37, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 74 from 100 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 37

Going ahead to step 4:
37 can be fit into 265 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we subtract 259 from 265, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 37

Moving on to step 5:
When dividing 65 by 37, we get 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 271.0
Subtract 37 from 65 to get 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 37

Going ahead to step 6:
37 goes into 287 7 times with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 2717.0
Deduct 259 from 287 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
When dividing 280 by 37, we get 7 with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 2717.7
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
When dividing 210 by 37, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 2717.75
If we subtract 185 from 210, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
The number 37 fits into 250 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 2717.756
If we take 222 away from 250, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 37 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 2717.7567
If we subtract 259 from 280, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
37 goes into 210 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2717.75675
The remainder is 25 after subtracting 185 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
250 divided by 37 is 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 2717.756756
Subtract 222 from 250 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
If we divide 280 by 37, we get 7 and a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 2717.7567567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 14:
210 divided by 37 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2717.75675675
Deduct 185 from 210 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 2717.75675675 with a balance of 2.5e-08.