Let's divide 31289132 by 821
Our goal is to divide 31289132 by 821.

Advancing to step 1:
When dividing 3 by 821, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 821

On to step 2:
The number 821 fits into 31 0 times, leaving a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 821

Going ahead to step 3:
If we divide 312 by 821, we get 0 and a remainder of 312.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 312 and we're left with 312.
Include the next digit (8) from the dividend after 312, then repeat: 3128 / 821

Moving on to step 4:
If we divide 3128 by 821, we get 3 and a remainder of 665.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 2463 from 3128 to get 665.
Grab the next digit (9) from the dividend, add it to 665, then carry on: 6659 / 821

On to step 5:
If we divide 6659 by 821, we get 8 and a remainder of 91.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Subtracting 6568 from 6659 leaves us with 91.
Append the next digit (1) from the dividend to 91 and continue with: 911 / 821

Step 6:
821 can be fit into 911 1 times, resulting in a remainder of 90.
Record the quotient 1 as the next digit in the result. 
Result so far: 381.0
If we subtract 821 from 911, we get 90.
Take the next digit (3) from the dividend and append it to 90, then repeat: 903 / 821

On to step 7:
821 goes into 903 1 times with a remainder of 82.
Put 1 as the next digit of the answer. 
Result so far: 3811.0
If we take 821 away from 903, we end up with 82.
Append the next digit (2) from the dividend to 82 and continue with: 822 / 821

Moving on to step 8:
821 can be fit into 822 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 38111.0
The remainder is 1 after subtracting 821 from 822.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
821 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 38111.0
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.

Going ahead to step 10:
821 can be fit into 100 0 times, resulting in a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 38111.0
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final outcome is 38111.0, with a leftover of 0.1.