37102038 ÷ 261 
We want to figure out the number of times 37102038 can be divided by 261.

On to step 1:
3 divided by 261 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 261

Moving on to step 2:
The number 261 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 261

Going ahead to step 3:
When dividing 371 by 261, we get 1 with a remainder of 110.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 261 from 371 to get 110.
Bring next digit (0) of the dividend behind the 110 and repeat the process: 1100 / 261

On to step 4:
261 goes into 1100 4 times with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 1044 from 1100 and we're left with 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 261

Step 5:
When dividing 562 by 261, we get 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 142.0
The remainder is 40 after subtracting 522 from 562.
Append the next digit (0) from the dividend to 40 and continue with: 400 / 261

Let's proceed to step 6:
When dividing 400 by 261, we get 1 with a remainder of 139.
Record the quotient 1 as the next digit in the result. 
Result so far: 1421.0
Subtracting 261 from 400 leaves us with 139.
Include the next digit (3) from the dividend after 139, then repeat: 1393 / 261

Step 7:
When dividing 1393 by 261, we get 5 with a remainder of 88.
Write down 5 as next digit of the result. 
Result so far: 14215.0
The remainder is 88 after subtracting 1305 from 1393.
Fetch the next digit (8) from the dividend, attach it to 88 and continue: 888 / 261

Moving on to step 8:
If we divide 888 by 261, we get 3 and a remainder of 105.
Record the quotient 3 as the next digit in the result. 
Result so far: 142153.0
If we take 783 away from 888, we end up with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Moving on to step 9:
261 goes into 1050 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 142153.4
Deduct 1044 from 1050 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
60 divided by 261 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 142153.4
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
When dividing 600 by 261, we get 2 with a remainder of 78.
Use 2 as the next digit of our solution. 
Result so far: 142153.402
Subtract 522 from 600 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 12:
780 divided by 261 is 2 with a remainder of 258.
Put 2 as the next digit of the answer. 
Result so far: 142153.4022
If we subtract 522 from 780, we get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

The final outcome is 142153.4022, with a leftover of 0.00258.