37583749 ÷ 903 
We want to figure out the number of times 37583749 can be divided by 903.

On to step 1:
3 divided by 903 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 903

Advancing to step 2:
903 can be fit into 37 0 times, resulting in a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 903

Step 3:
903 can be fit into 375 0 times, resulting in a remainder of 375.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 375 and we're left with 375.
Fetch the next digit (8) from the dividend, attach it to 375 and continue: 3758 / 903

Going ahead to step 4:
The number 903 fits into 3758 4 times, leaving a remainder of 146.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 3612 from 3758 to get 146.
Grab the next digit (3) from the dividend, add it to 146, then carry on: 1463 / 903

Let's proceed to step 5:
If we divide 1463 by 903, we get 1 and a remainder of 560.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtracting 903 from 1463 leaves us with 560.
Append the next digit (7) from the dividend to 560 and continue with: 5607 / 903

Going ahead to step 6:
The number 903 fits into 5607 6 times, leaving a remainder of 189.
Write down 6 as next digit of the result. 
Result so far: 416.0
If we subtract 5418 from 5607, we get 189.
Include the next digit (4) from the dividend after 189, then repeat: 1894 / 903

On to step 7:
903 can be fit into 1894 2 times, resulting in a remainder of 88.
Record the quotient 2 as the next digit in the result. 
Result so far: 4162.0
Subtract 1806 from 1894 to get 88.
Include the next digit (9) from the dividend after 88, then repeat: 889 / 903

Going ahead to step 8:
When dividing 889 by 903, we get 0 with a remainder of 889.
Record the quotient 0 as the next digit in the result. 
Result so far: 41620.0
If we subtract 0 from 889, we get 889.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8890, and continue the process.

Going ahead to step 9:
8890 divided by 903 is 9 with a remainder of 763.
Put 9 as the next digit of the answer. 
Result so far: 41620.9
Deduct 8127 from 8890 and we're left with 763.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7630, and continue the process.

Let's proceed to step 10:
If we divide 7630 by 903, we get 8 and a remainder of 406.
The next digit of our result is 8. 
Result so far: 41620.98
The remainder is 406 after subtracting 7224 from 7630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Step 11:
If we divide 4060 by 903, we get 4 and a remainder of 448.
Use 4 as the next digit of our solution. 
Result so far: 41620.984
Subtract 3612 from 4060 to get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Moving on to step 12:
The number 903 fits into 4480 4 times, leaving a remainder of 868.
Write down 4 as next digit of the result. 
Result so far: 41620.9844
Subtract 3612 from 4480 to get 868.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8680, and continue the process.

Our division results in 41620.9844 with a remaining 0.00868.