We're dividing 5195121 by 822 
Our goal is to divide 5195121 by 822.

Advancing to step 1:
822 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 822

Advancing to step 2:
When dividing 51 by 822, we get 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 822

Moving on to step 3:
822 can be fit into 519 0 times, resulting in a remainder of 519.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 519 to get 519.
Take the next digit (5) from the dividend and append it to 519, then repeat: 5195 / 822

Let's proceed to step 4:
If we divide 5195 by 822, we get 6 and a remainder of 263.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 4932 from 5195, we get 263.
Take the next digit (1) from the dividend and append it to 263, then repeat: 2631 / 822

Let's proceed to step 5:
If we divide 2631 by 822, we get 3 and a remainder of 165.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 2466 from 2631 and we're left with 165.
Grab the next digit (2) from the dividend, add it to 165, then carry on: 1652 / 822

Going ahead to step 6:
When dividing 1652 by 822, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 632.0
Deduct 1644 from 1652 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 822

Advancing to step 7:
When dividing 81 by 822, we get 0 with a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 6320.0
If we take 0 away from 81, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 8:
822 goes into 810 0 times with a remainder of 810.
Write down 0 as next digit of the result. 
Result so far: 6320.0
Subtracting 0 from 810 leaves us with 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

Step 9:
822 goes into 8100 9 times with a remainder of 702.
Write down 9 as next digit of the result. 
Result so far: 6320.09
The remainder is 702 after subtracting 7398 from 8100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7020, and continue the process.

Going ahead to step 10:
If we divide 7020 by 822, we get 8 and a remainder of 444.
The number 8 becomes the next digit in our result. 
Result so far: 6320.098
The remainder is 444 after subtracting 6576 from 7020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

On to step 11:
822 goes into 4440 5 times with a remainder of 330.
The number 5 becomes the next digit in our result. 
Result so far: 6320.0985
Subtracting 4110 from 4440 leaves us with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Moving on to step 12:
When dividing 3300 by 822, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 6320.09854
If we take 3288 away from 3300, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
When dividing 120 by 822, we get 0 with a remainder of 120.
Put 0 as the next digit of the answer. 
Result so far: 6320.09854
If we subtract 0 from 120, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 14:
When dividing 1200 by 822, we get 1 with a remainder of 378.
Write down 1 as next digit of the result. 
Result so far: 6320.0985401
If we subtract 822 from 1200, we get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Let's proceed to step 15:
When dividing 3780 by 822, we get 4 with a remainder of 492.
The next digit of our result is 4. 
Result so far: 6320.09854014
Deduct 3288 from 3780 and we're left with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

The final outcome is 6320.09854014, with a leftover of 4.92e-07.