257434 ÷ 79 
Our goal is to divide 257434 by 79.

Step 1:
If we divide 2 by 79, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 79

On to step 2:
79 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.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 79

Advancing to step 3:
If we divide 257 by 79, we get 3 and a remainder of 20.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 237 from 257 leaves us with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 79

Advancing to step 4:
204 divided by 79 is 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
If we subtract 158 from 204, we get 46.
Grab the next digit (3) from the dividend, add it to 46, then carry on: 463 / 79

Moving on to step 5:
If we divide 463 by 79, we get 5 and a remainder of 68.
The number 5 becomes the next digit in our result. 
Result so far: 325.0
Deduct 395 from 463 and we're left with 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 79

On to step 6:
684 divided by 79 is 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 3258.0
Deduct 632 from 684 and we're left 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:
If we divide 520 by 79, we get 6 and a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 3258.6
Subtract 474 from 520 to get 46.
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 8:
460 divided by 79 is 5 with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 3258.65
Subtracting 395 from 460 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 9:
If we divide 650 by 79, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 3258.658
The remainder is 18 after subtracting 632 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
79 can be fit into 180 2 times, resulting in a remainder of 22.
The next digit of our result is 2. 
Result so far: 3258.6582
If we subtract 158 from 180, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
If we divide 220 by 79, we get 2 and a remainder of 62.
Use 2 as the next digit of our solution. 
Result so far: 3258.65822
If we subtract 158 from 220, we 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.

The quotient of the division is 3258.65822, and the remainder is 6.2e-05.