Let's divide 37257688 by 503
We're looking to find how many times 503 goes into 37257688.

Step 1:
If we divide 3 by 503, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 503

Going ahead to step 2:
The number 503 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 503

Step 3:
503 can be fit into 372 0 times, resulting in a remainder of 372.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 372, we get 372.
Bring next digit (5) of the dividend behind the 372 and repeat the process: 3725 / 503

Going ahead to step 4:
When dividing 3725 by 503, we get 7 with a remainder of 204.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 3521 from 3725 leaves us with 204.
Take the next digit (7) from the dividend and append it to 204, then repeat: 2047 / 503

Let's proceed to step 5:
When dividing 2047 by 503, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we take 2012 away from 2047, we end up with 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 503

Advancing to step 6:
The number 503 fits into 356 0 times, leaving a remainder of 356.
The next digit of our result is 0. 
Result so far: 740.0
Subtracting 0 from 356 leaves us with 356.
Bring next digit (8) of the dividend behind the 356 and repeat the process: 3568 / 503

Step 7:
When dividing 3568 by 503, we get 7 with a remainder of 47.
The next digit of our result is 7. 
Result so far: 7407.0
Subtract 3521 from 3568 to get 47.
Fetch the next digit (8) from the dividend, attach it to 47 and continue: 478 / 503

On to step 8:
The number 503 fits into 478 0 times, leaving a remainder of 478.
The number 0 becomes the next digit in our result. 
Result so far: 74070.0
If we subtract 0 from 478, we get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Moving on to step 9:
503 can be fit into 4780 9 times, resulting in a remainder of 253.
Put 9 as the next digit of the answer. 
Result so far: 74070.9
The remainder is 253 after subtracting 4527 from 4780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Going ahead to step 10:
503 goes into 2530 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 74070.95
If we take 2515 away from 2530, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
150 divided by 503 is 0 with a remainder of 150.
Put 0 as the next digit of the answer. 
Result so far: 74070.95
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Going ahead to step 12:
1500 divided by 503 is 2 with a remainder of 494.
The number 2 becomes the next digit in our result. 
Result so far: 74070.9502
Subtracting 1006 from 1500 leaves us with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Advancing to step 13:
When dividing 4940 by 503, we get 9 with a remainder of 413.
The number 9 becomes the next digit in our result. 
Result so far: 74070.95029
Subtract 4527 from 4940 to get 413.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4130, and continue the process.

Let's proceed to step 14:
If we divide 4130 by 503, we get 8 and a remainder of 106.
The number 8 becomes the next digit in our result. 
Result so far: 74070.950298
The remainder is 106 after subtracting 4024 from 4130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Moving on to step 15:
The number 503 fits into 1060 2 times, leaving a remainder of 54.
Put 2 as the next digit of the answer. 
Result so far: 74070.9502982
Subtract 1006 from 1060 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 16:
When dividing 540 by 503, we get 1 with a remainder of 37.
The next digit of our result is 1. 
Result so far: 74070.95029821
If we take 503 away from 540, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Our division results in 74070.95029821 with a remaining 3.7e-08.