We look at the division of 45126121 by 821 
Our goal is to divide 45126121 by 821.

Advancing to step 1:
4 divided by 821 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 821

On to step 2:
45 divided by 821 is 0 with a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 821

Going ahead to step 3:
821 goes into 451 0 times with a remainder of 451.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 451, we get 451.
Take the next digit (2) from the dividend and append it to 451, then repeat: 4512 / 821

On to step 4:
821 goes into 4512 5 times with a remainder of 407.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 4105 away from 4512, we end up with 407.
Take the next digit (6) from the dividend and append it to 407, then repeat: 4076 / 821

Advancing to step 5:
If we divide 4076 by 821, we get 4 and a remainder of 792.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Subtracting 3284 from 4076 leaves us with 792.
Append the next digit (1) from the dividend to 792 and continue with: 7921 / 821

Step 6:
If we divide 7921 by 821, we get 9 and a remainder of 532.
Use 9 as the next digit of our solution. 
Result so far: 549.0
The remainder is 532 after subtracting 7389 from 7921.
Include the next digit (2) from the dividend after 532, then repeat: 5322 / 821

Going ahead to step 7:
If we divide 5322 by 821, we get 6 and a remainder of 396.
The number 6 becomes the next digit in our result. 
Result so far: 5496.0
Subtract 4926 from 5322 to get 396.
Append the next digit (1) from the dividend to 396 and continue with: 3961 / 821

Advancing to step 8:
821 goes into 3961 4 times with a remainder of 677.
The next digit of our result is 4. 
Result so far: 54964.0
If we subtract 3284 from 3961, we get 677.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6770, and continue the process.

Going ahead to step 9:
When dividing 6770 by 821, we get 8 with a remainder of 202.
The next digit of our result is 8. 
Result so far: 54964.8
If we take 6568 away from 6770, we end up with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Advancing to step 10:
821 can be fit into 2020 2 times, resulting in a remainder of 378.
Put 2 as the next digit of the answer. 
Result so far: 54964.82
Deduct 1642 from 2020 and we're left with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Step 11:
The number 821 fits into 3780 4 times, leaving a remainder of 496.
Use 4 as the next digit of our solution. 
Result so far: 54964.824
Subtracting 3284 from 3780 leaves us with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Advancing to step 12:
821 can be fit into 4960 6 times, resulting in a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 54964.8246
Subtracting 4926 from 4960 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 13:
821 goes into 340 0 times with a remainder of 340.
Put 0 as the next digit of the answer. 
Result so far: 54964.8246
If we take 0 away from 340, we end up with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Advancing to step 14:
3400 divided by 821 is 4 with a remainder of 116.
Write down 4 as next digit of the result. 
Result so far: 54964.824604
Subtract 3284 from 3400 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Moving on to step 15:
821 goes into 1160 1 times with a remainder of 339.
Use 1 as the next digit of our solution. 
Result so far: 54964.8246041
If we take 821 away from 1160, we end up with 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Advancing to step 16:
3390 divided by 821 is 4 with a remainder of 106.
Use 4 as the next digit of our solution. 
Result so far: 54964.82460414
Subtract 3284 from 3390 to get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

In conclusion, the division gives 54964.82460414 with a balance of 1.06e-07.