Let's divide 122021 by 13
We want to divide 122021 by 13.

Advancing to step 1:
13 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
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 13

Going ahead to step 2:
The number 13 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 13

Moving on to step 3:
If we divide 122 by 13, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 117 from 122 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 13

Let's proceed to step 4:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 93.0
The remainder is 11 after subtracting 39 from 50.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 13

Moving on to step 5:
If we divide 112 by 13, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 938.0
The remainder is 8 after subtracting 104 from 112.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 13

Step 6:
The number 13 fits into 81 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 9386.0
If we take 78 away from 81, 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.

Going ahead to step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 9386.2
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 9386.23
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9386.23
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 9386.2307
Deduct 91 from 100 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 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 9386.23076
If we take 78 away from 90, we end up with 12.
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 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9386.230769
Deduct 117 from 120 and we're left 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.

Step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 9386.2307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 9386.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 9386.23076923 and a remainder of 1e-09.