We're dividing 5508725 by 421 
We want to divide 5508725 by 421.

Going ahead to step 1:
The number 421 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 421

Step 2:
55 divided by 421 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (0) from the dividend and append it to 55, then repeat: 550 / 421

Let's proceed to step 3:
When dividing 550 by 421, we get 1 with a remainder of 129.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 421 away from 550, we end up with 129.
Grab the next digit (8) from the dividend, add it to 129, then carry on: 1298 / 421

On to step 4:
The number 421 fits into 1298 3 times, leaving a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 1263 from 1298 to get 35.
Append the next digit (7) from the dividend to 35 and continue with: 357 / 421

Moving on to step 5:
When dividing 357 by 421, we get 0 with a remainder of 357.
Write down 0 as next digit of the result. 
Result so far: 130.0
Subtract 0 from 357 to get 357.
Grab the next digit (2) from the dividend, add it to 357, then carry on: 3572 / 421

Step 6:
3572 divided by 421 is 8 with a remainder of 204.
Use 8 as the next digit of our solution. 
Result so far: 1308.0
If we subtract 3368 from 3572, we get 204.
Bring next digit (5) of the dividend behind the 204 and repeat the process: 2045 / 421

Moving on to step 7:
If we divide 2045 by 421, we get 4 and a remainder of 361.
Record the quotient 4 as the next digit in the result. 
Result so far: 13084.0
Subtracting 1684 from 2045 leaves us with 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

On to step 8:
421 can be fit into 3610 8 times, resulting in a remainder of 242.
The number 8 becomes the next digit in our result. 
Result so far: 13084.8
If we subtract 3368 from 3610, we get 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

Step 9:
The number 421 fits into 2420 5 times, leaving a remainder of 315.
Use 5 as the next digit of our solution. 
Result so far: 13084.85
Subtract 2105 from 2420 to get 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Advancing to step 10:
421 can be fit into 3150 7 times, resulting in a remainder of 203.
Record the quotient 7 as the next digit in the result. 
Result so far: 13084.857
The remainder is 203 after subtracting 2947 from 3150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

Let's proceed to step 11:
421 goes into 2030 4 times with a remainder of 346.
Record the quotient 4 as the next digit in the result. 
Result so far: 13084.8574
Subtract 1684 from 2030 to get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Step 12:
The number 421 fits into 3460 8 times, leaving a remainder of 92.
Put 8 as the next digit of the answer. 
Result so far: 13084.85748
If we take 3368 away from 3460, we end up with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

On to step 13:
421 can be fit into 920 2 times, resulting in a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 13084.857482
If we subtract 842 from 920, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 14:
If we divide 780 by 421, we get 1 and a remainder of 359.
Record the quotient 1 as the next digit in the result. 
Result so far: 13084.8574821
Subtracting 421 from 780 leaves us with 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

Let's proceed to step 15:
421 can be fit into 3590 8 times, resulting in a remainder of 222.
The next digit of our result is 8. 
Result so far: 13084.85748218
If we subtract 3368 from 3590, we get 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

In conclusion, the division gives 13084.85748218 with a balance of 2.22e-07.