We're dividing 259178 by 83 
We want to divide 259178 by 83.

Going ahead to step 1:
If we divide 2 by 83, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 83

Advancing to step 2:
83 can be fit into 25 0 times, resulting in a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (9) from the dividend, add it to 25, then carry on: 259 / 83

Going ahead to step 3:
83 can be fit into 259 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 249 from 259, we get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 83

Advancing to step 4:
101 divided by 83 is 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 31.0
The remainder is 18 after subtracting 83 from 101.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 83

Let's proceed to step 5:
83 goes into 187 2 times with a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 312.0
Subtract 166 from 187 to get 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 83

Step 6:
The number 83 fits into 218 2 times, leaving a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 3122.0
If we take 166 away from 218, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
83 can be fit into 520 6 times, resulting in a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 3122.6
The remainder is 22 after subtracting 498 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
220 divided by 83 is 2 with a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 3122.62
Subtracting 166 from 220 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 9:
If we divide 540 by 83, we get 6 and a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 3122.626
If we subtract 498 from 540, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 10:
83 can be fit into 420 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 3122.6265
The remainder is 5 after subtracting 415 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
83 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 3122.6265
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 12:
83 goes into 500 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 3122.626506
Subtract 498 from 500 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
If we divide 20 by 83, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3122.626506
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
The number 83 fits into 200 2 times, leaving a remainder of 34.
The next digit of our result is 2. 
Result so far: 3122.62650602
If we subtract 166 from 200, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 3122.62650602 with a remaining 3.4e-08.