We look at the division of 31125333 by 821 
We want to divide 31125333 by 821.

Going ahead to step 1:
When dividing 3 by 821, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 821

Step 2:
821 can be fit into 31 0 times, resulting in a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 821

Advancing to step 3:
821 can be fit into 311 0 times, resulting in a remainder of 311.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 311 to get 311.
Take the next digit (2) from the dividend and append it to 311, then repeat: 3112 / 821

Advancing to step 4:
The number 821 fits into 3112 3 times, leaving a remainder of 649.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 2463 from 3112 leaves us with 649.
Include the next digit (5) from the dividend after 649, then repeat: 6495 / 821

Step 5:
The number 821 fits into 6495 7 times, leaving a remainder of 748.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 5747 from 6495, we get 748.
Take the next digit (3) from the dividend and append it to 748, then repeat: 7483 / 821

Advancing to step 6:
If we divide 7483 by 821, we get 9 and a remainder of 94.
Write down 9 as next digit of the result. 
Result so far: 379.0
Deduct 7389 from 7483 and we're left with 94.
Take the next digit (3) from the dividend and append it to 94, then repeat: 943 / 821

On to step 7:
821 can be fit into 943 1 times, resulting in a remainder of 122.
The next digit of our result is 1. 
Result so far: 3791.0
Subtracting 821 from 943 leaves us with 122.
Append the next digit (3) from the dividend to 122 and continue with: 1223 / 821

Advancing to step 8:
821 goes into 1223 1 times with a remainder of 402.
The number 1 becomes the next digit in our result. 
Result so far: 37911.0
Subtracting 821 from 1223 leaves us with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Step 9:
The number 821 fits into 4020 4 times, leaving a remainder of 736.
Put 4 as the next digit of the answer. 
Result so far: 37911.4
The remainder is 736 after subtracting 3284 from 4020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

Moving on to step 10:
7360 divided by 821 is 8 with a remainder of 792.
Write down 8 as next digit of the result. 
Result so far: 37911.48
Subtract 6568 from 7360 to get 792.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7920, and continue the process.

Let's proceed to step 11:
If we divide 7920 by 821, we get 9 and a remainder of 531.
Record the quotient 9 as the next digit in the result. 
Result so far: 37911.489
The remainder is 531 after subtracting 7389 from 7920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5310, and continue the process.

Moving on to step 12:
The number 821 fits into 5310 6 times, leaving a remainder of 384.
The number 6 becomes the next digit in our result. 
Result so far: 37911.4896
Subtracting 4926 from 5310 leaves us with 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Going ahead to step 13:
When dividing 3840 by 821, we get 4 with a remainder of 556.
Put 4 as the next digit of the answer. 
Result so far: 37911.48964
If we take 3284 away from 3840, we end up with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Moving on to step 14:
When dividing 5560 by 821, we get 6 with a remainder of 634.
Use 6 as the next digit of our solution. 
Result so far: 37911.489646
If we subtract 4926 from 5560, we get 634.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

Let's proceed to step 15:
6340 divided by 821 is 7 with a remainder of 593.
Record the quotient 7 as the next digit in the result. 
Result so far: 37911.4896467
Subtracting 5747 from 6340 leaves us with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Step 16:
5930 divided by 821 is 7 with a remainder of 183.
Write down 7 as next digit of the result. 
Result so far: 37911.48964677
Subtract 5747 from 5930 to get 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

The quotient of the division is 37911.48964677, and the remainder is 1.83e-07.