We divide 421175 by 55
We're looking to find how many times 55 goes into 421175.

Advancing to step 1:
4 divided by 55 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 55

Let's proceed to step 2:
55 can be fit into 42 0 times, resulting in a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 55

On to step 3:
421 divided by 55 is 7 with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 385 from 421 and we're left with 36.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 55

Advancing to step 4:
When dividing 361 by 55, we get 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 330 from 361 leaves us with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 55

Advancing to step 5:
When dividing 317 by 55, we get 5 with a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 765.0
Deduct 275 from 317 and we're left with 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 55

Step 6:
The number 55 fits into 425 7 times, leaving a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 7657.0
Subtract 385 from 425 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
The number 55 fits into 400 7 times, leaving a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 7657.7
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
55 can be fit into 150 2 times, resulting in a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 7657.72
Subtracting 110 from 150 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
55 goes into 400 7 times with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 7657.727
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
55 goes into 150 2 times with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 7657.7272
If we take 110 away from 150, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
When dividing 400 by 55, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 7657.72727
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
When dividing 150 by 55, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 7657.727272
Subtracting 110 from 150 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
When dividing 400 by 55, we get 7 with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 7657.7272727
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
55 goes into 150 2 times with a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 7657.72727272
Deduct 110 from 150 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 7657.72727272, and the remainder is 4e-08.