We look at the division of 345884 by 83 
We want to divide 345884 by 83.

Going ahead to step 1:
83 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 83

Step 2:
When dividing 34 by 83, we get 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 83

Advancing to step 3:
When dividing 345 by 83, we get 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 332 from 345, we get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 83

Step 4:
If we divide 138 by 83, we get 1 and a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 41.0
The remainder is 55 after subtracting 83 from 138.
Append the next digit (8) from the dividend to 55 and continue with: 558 / 83

Moving on to step 5:
83 goes into 558 6 times with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 416.0
Subtract 498 from 558 to get 60.
Grab the next digit (4) from the dividend, add it to 60, then carry on: 604 / 83

Advancing to step 6:
604 divided by 83 is 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 4167.0
Deduct 581 from 604 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
The number 83 fits into 230 2 times, leaving a remainder of 64.
The next digit of our result is 2. 
Result so far: 4167.2
If we take 166 away from 230, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 8:
If we divide 640 by 83, we get 7 and a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 4167.27
Subtracting 581 from 640 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 9:
590 divided by 83 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 4167.277
If we subtract 581 from 590, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 4167.277, and the remainder is 0.0009.