We're dividing 626258 by 79 
Our goal is to divide 626258 by 79.

Advancing to step 1:
79 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 79

Moving on to step 2:
If we divide 62 by 79, we get 0 and a remainder of 62.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Fetch the next digit (6) from the dividend, attach it to 62 and continue: 626 / 79

On to step 3:
79 can be fit into 626 7 times, resulting in a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 553 from 626 and we're left with 73.
Grab the next digit (2) from the dividend, add it to 73, then carry on: 732 / 79

Step 4:
79 goes into 732 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtracting 711 from 732 leaves us with 21.
Bring next digit (5) of the dividend behind the 21 and repeat the process: 215 / 79

Going ahead to step 5:
When dividing 215 by 79, we get 2 with a remainder of 57.
Put 2 as the next digit of the answer. 
Result so far: 792.0
If we take 158 away from 215, we end up with 57.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 79

Moving on to step 6:
If we divide 578 by 79, we get 7 and a remainder of 25.
The next digit of our result is 7. 
Result so far: 7927.0
The remainder is 25 after subtracting 553 from 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
If we divide 250 by 79, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 7927.3
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 8:
79 goes into 130 1 times with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 7927.31
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.

On to step 9:
The number 79 fits into 510 6 times, leaving a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 7927.316
If we take 474 away from 510, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
When dividing 360 by 79, we get 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 7927.3164
Deduct 316 from 360 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 11:
440 divided by 79 is 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7927.31645
If we subtract 395 from 440, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 12:
79 can be fit into 450 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 7927.316455
If we take 395 away from 450, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 7927.316455, with a leftover of 5.5e-06.