We divide 107229 by 21
We're looking to find how many times 21 goes into 107229.

Let's proceed to step 1:
21 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 21

Step 2:
21 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 21

On to step 3:
When dividing 107 by 21, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 105 from 107 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 21

Moving on to step 4:
If we divide 22 by 21, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we take 21 away from 22, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 21

Moving on to step 5:
12 divided by 21 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 510.0
If we subtract 0 from 12, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 21

Step 6:
129 divided by 21 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 5106.0
If we subtract 126 from 129, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
21 goes into 30 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 5106.1
Deduct 21 from 30 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
21 can be fit into 90 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 5106.14
If we subtract 84 from 90, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 21 is 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 5106.142
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
The number 21 fits into 180 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 5106.1428
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
The number 21 fits into 120 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 5106.14285
Subtracting 105 from 120 leaves us 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.

Step 12:
150 divided by 21 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 5106.142857
If we take 147 away from 150, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
The number 21 fits into 30 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 5106.1428571
Subtract 21 from 30 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
When dividing 90 by 21, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 5106.14285714
Deduct 84 from 90 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 5106.14285714 with a remainder of 6e-09.