633663 ÷ 83 
We're looking to find how many times 83 goes into 633663.

Moving on to step 1:
83 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 83

On to step 2:
83 can be fit into 63 0 times, resulting in a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 83

Moving on to step 3:
When dividing 633 by 83, we get 7 with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 52 after subtracting 581 from 633.
Include the next digit (6) from the dividend after 52, then repeat: 526 / 83

Advancing to step 4:
The number 83 fits into 526 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 76.0
Subtract 498 from 526 to get 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 83

Moving on to step 5:
The number 83 fits into 286 3 times, leaving a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 763.0
If we take 249 away from 286, we end up with 37.
Bring next digit (3) of the dividend behind the 37 and repeat the process: 373 / 83

Advancing to step 6:
When dividing 373 by 83, we get 4 with a remainder of 41.
Write down 4 as next digit of the result. 
Result so far: 7634.0
The remainder is 41 after subtracting 332 from 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
410 divided by 83 is 4 with a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 7634.4
Deduct 332 from 410 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 8:
83 goes into 780 9 times with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 7634.49
Deduct 747 from 780 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
330 divided by 83 is 3 with a remainder of 81.
Use 3 as the next digit of our solution. 
Result so far: 7634.493
Deduct 249 from 330 and we're left 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.

Going ahead to step 10:
83 can be fit into 810 9 times, resulting in a remainder of 63.
The number 9 becomes the next digit in our result. 
Result so far: 7634.4939
Deduct 747 from 810 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 11:
83 goes into 630 7 times with a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 7634.49397
The remainder is 49 after subtracting 581 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
If we divide 490 by 83, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 7634.493975
Deduct 415 from 490 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 13:
When dividing 750 by 83, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 7634.4939759
The remainder is 3 after subtracting 747 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
The number 83 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 7634.4939759
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 7634.4939759 and a remainder of 3e-08.