We look at the division of 173876 by 21 
We're looking to find how many times 21 goes into 173876.

Going ahead to step 1:
21 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 21

Step 2:
When dividing 17 by 21, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 21

Going ahead to step 3:
When dividing 173 by 21, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 168 from 173 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 21

Going ahead to step 4:
When dividing 58 by 21, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Deduct 42 from 58 and we're left with 16.
Bring next digit (7) of the dividend behind the 16 and repeat the process: 167 / 21

Moving on to step 5:
When dividing 167 by 21, we get 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 827.0
If we subtract 147 from 167, we get 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 21

Advancing to step 6:
21 goes into 206 9 times with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 8279.0
The remainder is 17 after subtracting 189 from 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
21 goes into 170 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8279.8
Subtract 168 from 170 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
The number 21 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8279.8
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
21 goes into 200 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 8279.809
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
21 goes into 110 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8279.8095
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
21 can be fit into 50 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8279.80952
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
When dividing 80 by 21, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 8279.809523
Subtract 63 from 80 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
21 goes into 170 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8279.8095238
The remainder is 2 after subtracting 168 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
When dividing 20 by 21, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8279.8095238
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 8279.8095238 with a remainder of 2e-08.