We're dividing 421517 by 55 
We want to divide 421517 by 55.

Step 1:
4 divided by 55 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 55

Advancing to step 2:
42 divided by 55 is 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 55

Let's proceed to step 3:
421 divided by 55 is 7 with a remainder of 36.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 36 after subtracting 385 from 421.
Include the next digit (5) from the dividend after 36, then repeat: 365 / 55

Let's proceed to step 4:
If we divide 365 by 55, we get 6 and a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
If we take 330 away from 365, we end up with 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 55

Let's proceed to step 5:
When dividing 351 by 55, we get 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 766.0
Subtract 330 from 351 to get 21.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 55

Going ahead to step 6:
55 goes into 217 3 times with a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 7663.0
Subtracting 165 from 217 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
55 goes into 520 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 7663.9
If we take 495 away from 520, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 7663.94
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
300 divided by 55 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 7663.945
Subtracting 275 from 300 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
If we divide 250 by 55, we get 4 and a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 7663.9454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
When dividing 300 by 55, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 7663.94545
Deduct 275 from 300 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
If we divide 250 by 55, we get 4 and a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 7663.945454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
The number 55 fits into 300 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7663.9454545
Subtracting 275 from 300 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
When dividing 250 by 55, we get 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 7663.94545454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 7663.94545454, with a leftover of 3e-08.