Let's divide 354565 by 83
Our goal is to divide 354565 by 83.

On to step 1:
83 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 83

Step 2:
If we divide 35 by 83, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 83

On to step 3:
If we divide 354 by 83, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 332 from 354 leaves us with 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 83

Let's proceed to step 4:
When dividing 225 by 83, we get 2 with a remainder of 59.
Put 2 as the next digit of the answer. 
Result so far: 42.0
If we subtract 166 from 225, we get 59.
Append the next digit (6) from the dividend to 59 and continue with: 596 / 83

On to step 5:
83 can be fit into 596 7 times, resulting in a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 427.0
The remainder is 15 after subtracting 581 from 596.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 83

Let's proceed to step 6:
83 can be fit into 155 1 times, resulting in a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 4271.0
If we take 83 away from 155, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 7:
If we divide 720 by 83, we get 8 and a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 4271.8
If we take 664 away from 720, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
When dividing 560 by 83, we get 6 with a remainder of 62.
Write down 6 as next digit of the result. 
Result so far: 4271.86
Subtract 498 from 560 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 9:
When dividing 620 by 83, we get 7 with a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 4271.867
The remainder is 39 after subtracting 581 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 10:
83 goes into 390 4 times with a remainder of 58.
Write down 4 as next digit of the result. 
Result so far: 4271.8674
The remainder is 58 after subtracting 332 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 11:
580 divided by 83 is 6 with a remainder of 82.
Record the quotient 6 as the next digit in the result. 
Result so far: 4271.86746
Deduct 498 from 580 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 12:
The number 83 fits into 820 9 times, leaving a remainder of 73.
Record the quotient 9 as the next digit in the result. 
Result so far: 4271.867469
Deduct 747 from 820 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 13:
If we divide 730 by 83, we get 8 and a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 4271.8674698
If we subtract 664 from 730, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 14:
83 can be fit into 660 7 times, resulting in a remainder of 79.
Put 7 as the next digit of the answer. 
Result so far: 4271.86746987
Subtract 581 from 660 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Our division results in 4271.86746987 with a remaining 7.9e-08.