Let's divide 103921 by 37
We want to figure out the number of times 103921 can be divided by 37.

On to step 1:
37 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 37

On to step 2:
10 divided by 37 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 37

On to step 3:
If we divide 103 by 37, we get 2 and a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 74 away from 103, we end up with 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 37

On to step 4:
The number 37 fits into 299 8 times, leaving a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 28.0
If we subtract 296 from 299, we get 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 37

Moving on to step 5:
When dividing 32 by 37, we get 0 with a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 280.0
Deduct 0 from 32 and we're left with 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 37

Let's proceed to step 6:
The number 37 fits into 321 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 2808.0
Subtract 296 from 321 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.

Step 7:
If we divide 250 by 37, we get 6 and a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 2808.6
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.

On to step 8:
37 goes into 280 7 times with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 2808.67
The remainder is 21 after subtracting 259 from 280.
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 9:
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: 2808.675
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.

Let's proceed to step 10:
If we divide 250 by 37, we get 6 and a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 2808.6756
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.

Let's proceed to step 11:
The number 37 fits into 280 7 times, leaving a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 2808.67567
If we take 259 away from 280, 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.

Let's proceed to step 12:
If we divide 210 by 37, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 2808.675675
If we subtract 185 from 210, we 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 13:
The number 37 fits into 250 6 times, leaving a remainder of 28.
The next digit of our result is 6. 
Result so far: 2808.6756756
The remainder is 28 after subtracting 222 from 250.
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 14:
37 goes into 280 7 times with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 2808.67567567
Deduct 259 from 280 and we're left 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.

The quotient of the division is 2808.67567567, and the remainder is 2.1e-08.