725017 ÷ 79 
Our goal is to divide 725017 by 79.

Let's proceed to step 1:
If we divide 7 by 79, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 79

Let's proceed to step 2:
When dividing 72 by 79, we get 0 with a remainder of 72.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 72 leaves us with 72.
Fetch the next digit (5) from the dividend, attach it to 72 and continue: 725 / 79

Step 3:
79 goes into 725 9 times with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 711 from 725, we get 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 79

Moving on to step 4:
140 divided by 79 is 1 with a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
Subtracting 79 from 140 leaves us with 61.
Include the next digit (1) from the dividend after 61, then repeat: 611 / 79

Step 5:
79 goes into 611 7 times with a remainder of 58.
The next digit of our result is 7. 
Result so far: 917.0
Subtracting 553 from 611 leaves us with 58.
Grab the next digit (7) from the dividend, add it to 58, then carry on: 587 / 79

Moving on to step 6:
If we divide 587 by 79, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 9177.0
Deduct 553 from 587 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 79 fits into 340 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 9177.4
Subtracting 316 from 340 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
If we divide 240 by 79, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 9177.43
If we subtract 237 from 240, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
30 divided by 79 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 9177.43
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
79 can be fit into 300 3 times, resulting in a remainder of 63.
The next digit of our result is 3. 
Result so far: 9177.4303
The remainder is 63 after subtracting 237 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 11:
If we divide 630 by 79, we get 7 and a remainder of 77.
The number 7 becomes the next digit in our result. 
Result so far: 9177.43037
Deduct 553 from 630 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 12:
The number 79 fits into 770 9 times, leaving a remainder of 59.
The number 9 becomes the next digit in our result. 
Result so far: 9177.430379
Subtracting 711 from 770 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 13:
If we divide 590 by 79, we get 7 and a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 9177.4303797
If we subtract 553 from 590, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 14:
When dividing 370 by 79, we get 4 with a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 9177.43037974
The remainder is 54 after subtracting 316 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 9177.43037974, with a leftover of 5.4e-08.