We're dividing 636214 by 83 
We want to divide 636214 by 83.

Advancing to step 1:
If we divide 6 by 83, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 83

On to step 2:
63 divided by 83 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (6) from the dividend after 63, then repeat: 636 / 83

Going ahead to step 3:
The number 83 fits into 636 7 times, leaving a remainder of 55.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 581 from 636 to get 55.
Grab the next digit (2) from the dividend, add it to 55, then carry on: 552 / 83

On to step 4:
The number 83 fits into 552 6 times, leaving a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 498 from 552 leaves us with 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 83

Going ahead to step 5:
When dividing 541 by 83, we get 6 with a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 766.0
If we take 498 away from 541, we end up with 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 83

Going ahead to step 6:
83 goes into 434 5 times with a remainder of 19.
The next digit of our result is 5. 
Result so far: 7665.0
If we subtract 415 from 434, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
When dividing 190 by 83, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 7665.2
Subtract 166 from 190 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
83 goes into 240 2 times with a remainder of 74.
Write down 2 as next digit of the result. 
Result so far: 7665.22
Subtracting 166 from 240 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final result is 7665.22 with a remainder of 0.074.