We look at the division of 731497 by 79 
Our goal is to divide 731497 by 79.

Going ahead to step 1:
If we divide 7 by 79, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 79

On to step 2:
When dividing 73 by 79, we get 0 with a remainder of 73.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 73, we get 73.
Append the next digit (1) from the dividend to 73 and continue with: 731 / 79

On to step 3:
When dividing 731 by 79, we get 9 with a remainder of 20.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 711 from 731 and we're left with 20.
Grab the next digit (4) from the dividend, add it to 20, then carry on: 204 / 79

Advancing to step 4:
If we divide 204 by 79, we get 2 and a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
If we take 158 away from 204, we end up with 46.
Grab the next digit (9) from the dividend, add it to 46, then carry on: 469 / 79

Step 5:
79 can be fit into 469 5 times, resulting in a remainder of 74.
The number 5 becomes the next digit in our result. 
Result so far: 925.0
Subtracting 395 from 469 leaves us with 74.
Grab the next digit (7) from the dividend, add it to 74, then carry on: 747 / 79

Step 6:
The number 79 fits into 747 9 times, leaving a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 9259.0
Subtract 711 from 747 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
The number 79 fits into 360 4 times, leaving a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 9259.4
If we subtract 316 from 360, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
When dividing 440 by 79, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 9259.45
Deduct 395 from 440 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
If we divide 450 by 79, we get 5 and a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 9259.455
The remainder is 55 after subtracting 395 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 9259.455 with a remaining 0.0055.