We're dividing 642135 by 83 
Our goal is to divide 642135 by 83.

Let's proceed to step 1:
The number 83 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 83

On to step 2:
83 can be fit into 64 0 times, resulting in a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 83

Let's proceed to step 3:
The number 83 fits into 642 7 times, leaving a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 581 from 642 to get 61.
Fetch the next digit (1) from the dividend, attach it to 61 and continue: 611 / 83

Moving on to step 4:
When dividing 611 by 83, we get 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 77.0
If we subtract 581 from 611, we get 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 83

Moving on to step 5:
When dividing 303 by 83, we get 3 with a remainder of 54.
The number 3 becomes the next digit in our result. 
Result so far: 773.0
The remainder is 54 after subtracting 249 from 303.
Bring next digit (5) of the dividend behind the 54 and repeat the process: 545 / 83

Moving on to step 6:
545 divided by 83 is 6 with a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 7736.0
The remainder is 47 after subtracting 498 from 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 83 fits into 470 5 times, leaving a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 7736.5
If we take 415 away from 470, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
83 goes into 550 6 times with a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 7736.56
Subtracting 498 from 550 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
The number 83 fits into 520 6 times, leaving a remainder of 22.
The next digit of our result is 6. 
Result so far: 7736.566
If we take 498 away from 520, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 7736.566 with a remaining 0.0022.