We look at the division of 341553 by 83 
Let's see how many times 83 fits into 341553.

Advancing to step 1:
83 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 83

Step 2:
When dividing 34 by 83, we get 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 83

Advancing to step 3:
When dividing 341 by 83, we get 4 with a remainder of 9.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 9 after subtracting 332 from 341.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 83

Step 4:
If we divide 95 by 83, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 41.0
The remainder is 12 after subtracting 83 from 95.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 83

Step 5:
When dividing 125 by 83, we get 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 411.0
The remainder is 42 after subtracting 83 from 125.
Append the next digit (3) from the dividend to 42 and continue with: 423 / 83

On to step 6:
83 can be fit into 423 5 times, resulting in a remainder of 8.
The next digit of our result is 5. 
Result so far: 4115.0
Subtracting 415 from 423 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 83 is 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 4115.0
Subtracting 0 from 80 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.

Step 8:
When dividing 800 by 83, we get 9 with a remainder of 53.
The next digit of our result is 9. 
Result so far: 4115.09
Deduct 747 from 800 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 9:
If we divide 530 by 83, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 4115.096
If we take 498 away from 530, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
320 divided by 83 is 3 with a remainder of 71.
The number 3 becomes the next digit in our result. 
Result so far: 4115.0963
If we take 249 away from 320, we end up 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.

Let's proceed to step 11:
The number 83 fits into 710 8 times, leaving a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 4115.09638
The remainder is 46 after subtracting 664 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 12:
83 can be fit into 460 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 4115.096385
If we take 415 away from 460, we end up 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.

Going ahead to step 13:
The number 83 fits into 450 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 4115.0963855
If we take 415 away from 450, we end up with 35.
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 4115.0963855, and the remainder is 3.5e-07.