221126 ÷ 31 
Let's see how many times 31 fits into 221126.

Moving on to step 1:
When dividing 2 by 31, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 31

Let's proceed to step 2:
31 goes into 22 0 times with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 22 leaves us with 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 31

Advancing to step 3:
If we divide 221 by 31, we get 7 and a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 217 away from 221, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 31

Step 4:
31 goes into 41 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 71.0
Subtract 31 from 41 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 31

Moving on to step 5:
When dividing 102 by 31, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 713.0
The remainder is 9 after subtracting 93 from 102.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 31

Let's proceed to step 6:
The number 31 fits into 96 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 7133.0
Subtracting 93 from 96 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 31, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 7133.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
300 divided by 31 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 7133.09
Deduct 279 from 300 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
31 can be fit into 210 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 7133.096
Subtracting 186 from 210 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
31 goes into 240 7 times with a remainder of 23.
The next digit of our result is 7. 
Result so far: 7133.0967
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 11:
31 can be fit into 230 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7133.09677
Subtracting 217 from 230 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 7133.09677 with a remainder of 1.3e-05.