Let's divide 4421 by 31
Our goal is to divide 4421 by 31.

Advancing to step 1:
If we divide 4 by 31, we get 0 and 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.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 31

Let's proceed to step 2:
If we divide 44 by 31, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 31 from 44 and we're left with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 31

Let's proceed to step 3:
The number 31 fits into 132 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 14.0
Deduct 124 from 132 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 31

On to step 4:
31 goes into 81 2 times with a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
The remainder is 19 after subtracting 62 from 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 5:
31 can be fit into 190 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 142.6
Subtracting 186 from 190 leaves us 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.

Moving on to step 6:
31 goes into 40 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 142.61
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
The number 31 fits into 90 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 142.612
Subtract 62 from 90 to 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.

Moving on to step 8:
The number 31 fits into 280 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 142.6129
If we take 279 away from 280, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
The number 31 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 142.6129
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
The number 31 fits into 100 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 142.612903
If we subtract 93 from 100, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
31 goes into 70 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 142.6129032
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
31 goes into 80 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 142.61290322
If we subtract 62 from 80, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 142.61290322 and a remainder of 1.8e-08.