Let's divide 105905 by 83
We're looking to find how many times 83 goes into 105905.

On to step 1:
When dividing 1 by 83, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 83

On to step 2:
83 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 83

Moving on to step 3:
83 goes into 105 1 times with a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 83 from 105 to get 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 83

On to step 4:
83 can be fit into 229 2 times, resulting in a remainder of 63.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 166 from 229 leaves us with 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 83

Step 5:
83 can be fit into 630 7 times, resulting in a remainder of 49.
Write down 7 as next digit of the result. 
Result so far: 127.0
If we subtract 581 from 630, we get 49.
Append the next digit (5) from the dividend to 49 and continue with: 495 / 83

Moving on to step 6:
83 goes into 495 5 times with a remainder of 80.
The number 5 becomes the next digit in our result. 
Result so far: 1275.0
Subtracting 415 from 495 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 7:
83 can be fit into 800 9 times, resulting in a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 1275.9
The remainder is 53 after subtracting 747 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 8:
When dividing 530 by 83, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 1275.96
The remainder is 32 after subtracting 498 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
The number 83 fits into 320 3 times, leaving a remainder of 71.
The next digit of our result is 3. 
Result so far: 1275.963
Deduct 249 from 320 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 10:
83 can be fit into 710 8 times, resulting in a remainder of 46.
The next digit of our result is 8. 
Result so far: 1275.9638
If we subtract 664 from 710, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 11:
The number 83 fits into 460 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1275.96385
Deduct 415 from 460 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
83 goes into 450 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 1275.963855
The remainder is 35 after subtracting 415 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 1275.963855, and the remainder is 3.5e-06.