We're dividing 421133 by 51 
Our goal is to divide 421133 by 51.

On to step 1:
When dividing 4 by 51, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 51

Let's proceed to step 2:
The number 51 fits into 42 0 times, leaving a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 51

On to step 3:
421 divided by 51 is 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 408 from 421 and we're left with 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 51

Moving on to step 4:
When dividing 131 by 51, we get 2 with a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 82.0
If we subtract 102 from 131, we get 29.
Take the next digit (3) from the dividend and append it to 29, then repeat: 293 / 51

Step 5:
293 divided by 51 is 5 with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 825.0
Deduct 255 from 293 and we're left with 38.
Include the next digit (3) from the dividend after 38, then repeat: 383 / 51

Advancing to step 6:
51 goes into 383 7 times with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 8257.0
Subtract 357 from 383 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
260 divided by 51 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8257.5
Subtracting 255 from 260 leaves us 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.

Advancing to step 8:
If we divide 50 by 51, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 8257.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
If we divide 500 by 51, we get 9 and a remainder of 41.
The next digit of our result is 9. 
Result so far: 8257.509
Subtract 459 from 500 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
51 can be fit into 410 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8257.5098
Subtract 408 from 410 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.

On to step 11:
20 divided by 51 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8257.5098
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
When dividing 200 by 51, we get 3 with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 8257.509803
Deduct 153 from 200 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 13:
If we divide 470 by 51, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 8257.5098039
The remainder is 11 after subtracting 459 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
51 goes into 110 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 8257.50980392
If we take 102 away from 110, 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.

After the division, we end up with 8257.50980392 and a remainder of 8e-09.