We're dividing 421783 by 51 
Our goal is to divide 421783 by 51.

Advancing to step 1:
51 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 51

Going ahead to step 2:
42 divided by 51 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 51

Advancing to step 3:
When dividing 421 by 51, we get 8 with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 408 away from 421, we end up with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 51

Moving on to step 4:
137 divided by 51 is 2 with a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 82.0
Deduct 102 from 137 and we're left with 35.
Fetch the next digit (8) from the dividend, attach it to 35 and continue: 358 / 51

Going ahead to step 5:
The number 51 fits into 358 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 827.0
Subtract 357 from 358 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 51

Let's proceed to step 6:
13 divided by 51 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 8270.0
If we take 0 away from 13, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
130 divided by 51 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 8270.2
If we subtract 102 from 130, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
If we divide 280 by 51, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 8270.25
The remainder is 25 after subtracting 255 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
If we divide 250 by 51, we get 4 and a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 8270.254
Subtract 204 from 250 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
51 can be fit into 460 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8270.2549
If we subtract 459 from 460, we 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.

Going ahead to step 11:
51 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8270.2549
Subtracting 0 from 10 leaves us with 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 12:
51 goes into 100 1 times with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 8270.254901
If we take 51 away from 100, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 13:
When dividing 490 by 51, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 8270.2549019
Subtract 459 from 490 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 14:
51 goes into 310 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8270.25490196
If we take 306 away from 310, 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.

Our division results in 8270.25490196 with a remaining 4e-09.