We look at the division of 487523 by 79 
We want to figure out the number of times 487523 can be divided by 79.

On to step 1:
The number 79 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 79

Advancing to step 2:
79 can be fit into 48 0 times, resulting in a remainder of 48.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 48 leaves us with 48.
Grab the next digit (7) from the dividend, add it to 48, then carry on: 487 / 79

Let's proceed to step 3:
When dividing 487 by 79, we get 6 with a remainder of 13.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 474 from 487, we get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 79

Advancing to step 4:
79 can be fit into 135 1 times, resulting in a remainder of 56.
Put 1 as the next digit of the answer. 
Result so far: 61.0
The remainder is 56 after subtracting 79 from 135.
Take the next digit (2) from the dividend and append it to 56, then repeat: 562 / 79

Let's proceed to step 5:
If we divide 562 by 79, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 617.0
If we take 553 away from 562, we end up with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 79

Going ahead to step 6:
93 divided by 79 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 6171.0
Subtract 79 from 93 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
If we divide 140 by 79, we get 1 and a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 6171.1
The remainder is 61 after subtracting 79 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
610 divided by 79 is 7 with a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 6171.17
Subtract 553 from 610 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 9:
The number 79 fits into 570 7 times, leaving a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 6171.177
Deduct 553 from 570 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 6171.177, and the remainder is 0.0017.