Let's divide 111317 by 37
We want to figure out the number of times 111317 can be divided by 37.

Moving on to step 1:
1 divided by 37 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 37

Going ahead to step 2:
The number 37 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 37

Going ahead to step 3:
37 can be fit into 111 3 times, resulting in a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 0 after subtracting 111 from 111.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 37

Step 4:
37 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 30.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 37

Step 5:
31 divided by 37 is 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 300.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 37

Step 6:
317 divided by 37 is 8 with a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 3008.0
If we take 296 away from 317, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
If we divide 210 by 37, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3008.5
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 37, we get 6 and a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 3008.56
If we take 222 away from 250, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
37 goes into 280 7 times with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 3008.567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
210 divided by 37 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 3008.5675
Subtract 185 from 210 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.

On to step 11:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 3008.56756
Subtracting 222 from 250 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
The number 37 fits into 280 7 times, leaving a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 3008.567567
If we subtract 259 from 280, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
37 can be fit into 210 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3008.5675675
The remainder is 25 after subtracting 185 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
250 divided by 37 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 3008.56756756
If we take 222 away from 250, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 3008.56756756, and the remainder is 2.8e-08.