113688 ÷ 21 
We want to divide 113688 by 21.

Let's proceed to step 1:
21 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 21

Step 2:
11 divided by 21 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 21

Moving on to step 3:
113 divided by 21 is 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 105 from 113 to get 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 21

Step 4:
If we divide 86 by 21, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtract 84 from 86 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 21

Going ahead to step 5:
The number 21 fits into 28 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 541.0
Subtracting 21 from 28 leaves us with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 21

On to step 6:
When dividing 78 by 21, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 5413.0
If we take 63 away from 78, we end up 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.

Moving on to step 7:
150 divided by 21 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 5413.7
The remainder is 3 after subtracting 147 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
When dividing 30 by 21, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 5413.71
The remainder is 9 after subtracting 21 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
The number 21 fits into 90 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 5413.714
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.

Step 10:
21 can be fit into 60 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 5413.7142
Subtract 42 from 60 to 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.

Let's proceed to step 11:
If we divide 180 by 21, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 5413.71428
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
21 goes into 120 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 5413.714285
If we take 105 away from 120, we end up 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.

Moving on to step 13:
If we divide 150 by 21, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 5413.7142857
If we subtract 147 from 150, 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.

On to step 14:
30 divided by 21 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 5413.71428571
Subtracting 21 from 30 leaves us 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.

The final result is 5413.71428571 with a remainder of 9e-09.