We're dividing 557342 by 79 
We want to divide 557342 by 79.

Step 1:
79 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 79

Going ahead to step 2:
79 can be fit into 55 0 times, resulting in a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 79

On to step 3:
When dividing 557 by 79, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 553 from 557 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 79

Let's proceed to step 4:
When dividing 43 by 79, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 70.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 79

On to step 5:
434 divided by 79 is 5 with a remainder of 39.
The next digit of our result is 5. 
Result so far: 705.0
Deduct 395 from 434 and we're left with 39.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 79

Advancing to step 6:
79 goes into 392 4 times with a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 7054.0
The remainder is 76 after subtracting 316 from 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 7:
79 can be fit into 760 9 times, resulting in a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 7054.9
Deduct 711 from 760 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
79 goes into 490 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 7054.96
Subtract 474 from 490 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
79 goes into 160 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 7054.962
Subtracting 158 from 160 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
If we divide 20 by 79, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7054.962
Deduct 0 from 20 and we're left with 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 11:
200 divided by 79 is 2 with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 7054.96202
If we take 158 away from 200, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
If we divide 420 by 79, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7054.962025
If we take 395 away from 420, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
If we divide 250 by 79, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 7054.9620253
Subtracting 237 from 250 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 14:
79 goes into 130 1 times with a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 7054.96202531
Subtract 79 from 130 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 7054.96202531 and a remainder of 5.1e-08.