We look at the division of 269413 by 83 
We want to divide 269413 by 83.

Step 1:
2 divided by 83 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 83

On to step 2:
The number 83 fits into 26 0 times, leaving a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 83

Advancing to step 3:
83 goes into 269 3 times with a remainder of 20.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 249 from 269 and we're left with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 83

On to step 4:
83 can be fit into 204 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtracting 166 from 204 leaves us with 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 83

Step 5:
83 can be fit into 381 4 times, resulting in a remainder of 49.
The number 4 becomes the next digit in our result. 
Result so far: 324.0
The remainder is 49 after subtracting 332 from 381.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 83

Going ahead to step 6:
When dividing 493 by 83, we get 5 with a remainder of 78.
Record the quotient 5 as the next digit in the result. 
Result so far: 3245.0
The remainder is 78 after subtracting 415 from 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 7:
If we divide 780 by 83, we get 9 and a remainder of 33.
The next digit of our result is 9. 
Result so far: 3245.9
If we take 747 away from 780, we end up 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.

Going ahead to step 8:
If we divide 330 by 83, we get 3 and a remainder of 81.
The next digit of our result is 3. 
Result so far: 3245.93
Subtracting 249 from 330 leaves us 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.

On to step 9:
810 divided by 83 is 9 with a remainder of 63.
Use 9 as the next digit of our solution. 
Result so far: 3245.939
Subtracting 747 from 810 leaves us 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.

On to step 10:
83 can be fit into 630 7 times, resulting in a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 3245.9397
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.

Step 11:
The number 83 fits into 490 5 times, leaving a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 3245.93975
The remainder is 75 after subtracting 415 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 12:
83 can be fit into 750 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 3245.939759
Subtract 747 from 750 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
30 divided by 83 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 3245.939759
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
83 can be fit into 300 3 times, resulting in a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 3245.93975903
If we subtract 249 from 300, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final outcome is 3245.93975903, with a leftover of 5.1e-08.