We look at the division of 37934261 by 125 
We want to figure out the number of times 37934261 can be divided by 125.

Going ahead to step 1:
3 divided by 125 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 125

Going ahead to step 2:
125 goes into 37 0 times with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 125

On to step 3:
125 goes into 379 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 375 from 379 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 125

On to step 4:
125 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 30.0
Subtract 0 from 43 to get 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 125

Moving on to step 5:
434 divided by 125 is 3 with a remainder of 59.
The next digit of our result is 3. 
Result so far: 303.0
Subtracting 375 from 434 leaves us with 59.
Take the next digit (2) from the dividend and append it to 59, then repeat: 592 / 125

Going ahead to step 6:
125 can be fit into 592 4 times, resulting in a remainder of 92.
The number 4 becomes the next digit in our result. 
Result so far: 3034.0
Deduct 500 from 592 and we're left with 92.
Grab the next digit (6) from the dividend, add it to 92, then carry on: 926 / 125

Moving on to step 7:
125 can be fit into 926 7 times, resulting in a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 30347.0
The remainder is 51 after subtracting 875 from 926.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 125

Step 8:
If we divide 511 by 125, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 303474.0
Subtract 500 from 511 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
If we divide 110 by 125, we get 0 and a remainder of 110.
Use 0 as the next digit of our solution. 
Result so far: 303474.0
If we take 0 away from 110, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Let's proceed to step 10:
1100 divided by 125 is 8 with a remainder of 100.
The next digit of our result is 8. 
Result so far: 303474.08
Subtract 1000 from 1100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 11:
125 goes into 1000 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 303474.088
Subtracting 1000 from 1000 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 303474.088 with a balance of 0.0.