113221 ÷ 55 
Our goal is to divide 113221 by 55.

Let's proceed to step 1:
When dividing 1 by 55, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 55

Let's proceed to step 2:
The number 55 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 55

Step 3:
55 goes into 113 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 110 from 113 to get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 55

On to step 4:
55 goes into 32 0 times with a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 32 to get 32.
Bring next digit (2) of the dividend behind the 32 and repeat the process: 322 / 55

Moving on to step 5:
55 can be fit into 322 5 times, resulting in a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 205.0
Deduct 275 from 322 and we're left with 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 55

Let's proceed to step 6:
55 goes into 471 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 2058.0
If we subtract 440 from 471, we 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 7:
The number 55 fits into 310 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 2058.5
If we take 275 away from 310, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
350 divided by 55 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 2058.56
If we take 330 away from 350, we end up with 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 9:
When dividing 200 by 55, we get 3 with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 2058.563
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
350 divided by 55 is 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 2058.5636
Subtracting 330 from 350 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
55 goes into 200 3 times with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 2058.56363
If we subtract 165 from 200, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
When dividing 350 by 55, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 2058.563636
Subtract 330 from 350 to 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.

Let's proceed to step 13:
The number 55 fits into 200 3 times, leaving a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 2058.5636363
If we subtract 165 from 200, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
55 goes into 350 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 2058.56363636
If we subtract 330 from 350, 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.

Our division results in 2058.56363636 with a remaining 2e-08.