We're dividing 37397296 by 903 
Let's see how many times 903 fits into 37397296.

Advancing to step 1:
If we divide 3 by 903, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 903

Let's proceed to step 2:
The number 903 fits into 37 0 times, leaving a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 903

Let's proceed to step 3:
903 goes into 373 0 times with a remainder of 373.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 373, we end up with 373.
Include the next digit (9) from the dividend after 373, then repeat: 3739 / 903

Advancing to step 4:
903 can be fit into 3739 4 times, resulting in a remainder of 127.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 3612 from 3739 to get 127.
Fetch the next digit (7) from the dividend, attach it to 127 and continue: 1277 / 903

Let's proceed to step 5:
903 can be fit into 1277 1 times, resulting in a remainder of 374.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 374 after subtracting 903 from 1277.
Grab the next digit (2) from the dividend, add it to 374, then carry on: 3742 / 903

Going ahead to step 6:
If we divide 3742 by 903, we get 4 and a remainder of 130.
Put 4 as the next digit of the answer. 
Result so far: 414.0
Deduct 3612 from 3742 and we're left with 130.
Grab the next digit (9) from the dividend, add it to 130, then carry on: 1309 / 903

Moving on to step 7:
If we divide 1309 by 903, we get 1 and a remainder of 406.
Put 1 as the next digit of the answer. 
Result so far: 4141.0
If we take 903 away from 1309, we end up with 406.
Append the next digit (6) from the dividend to 406 and continue with: 4066 / 903

Step 8:
If we divide 4066 by 903, we get 4 and a remainder of 454.
Use 4 as the next digit of our solution. 
Result so far: 41414.0
Deduct 3612 from 4066 and we're left with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Moving on to step 9:
When dividing 4540 by 903, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 41414.5
Subtract 4515 from 4540 to 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.

Moving on to step 10:
When dividing 250 by 903, we get 0 with a remainder of 250.
The next digit of our result is 0. 
Result so far: 41414.5
If we subtract 0 from 250, we get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Step 11:
If we divide 2500 by 903, we get 2 and a remainder of 694.
The number 2 becomes the next digit in our result. 
Result so far: 41414.502
Subtract 1806 from 2500 to get 694.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6940, and continue the process.

On to step 12:
If we divide 6940 by 903, we get 7 and a remainder of 619.
Write down 7 as next digit of the result. 
Result so far: 41414.5027
Subtracting 6321 from 6940 leaves us with 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

Let's proceed to step 13:
When dividing 6190 by 903, we get 6 with a remainder of 772.
The number 6 becomes the next digit in our result. 
Result so far: 41414.50276
The remainder is 772 after subtracting 5418 from 6190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7720, and continue the process.

Advancing to step 14:
When dividing 7720 by 903, we get 8 with a remainder of 496.
The next digit of our result is 8. 
Result so far: 41414.502768
If we take 7224 away from 7720, we end up with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Let's proceed to step 15:
If we divide 4960 by 903, we get 5 and a remainder of 445.
Record the quotient 5 as the next digit in the result. 
Result so far: 41414.5027685
Subtracting 4515 from 4960 leaves us with 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

Let's proceed to step 16:
The number 903 fits into 4450 4 times, leaving a remainder of 838.
The next digit of our result is 4. 
Result so far: 41414.50276854
If we subtract 3612 from 4450, we get 838.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8380, and continue the process.

The final result is 41414.50276854 with a remainder of 8.38e-07.