Let's divide 742597 by 17
We're looking to find how many times 17 goes into 742597.

Going ahead to step 1:
If we divide 7 by 17, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 17

Going ahead to step 2:
17 goes into 74 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 68 from 74, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 17

Step 3:
17 can be fit into 62 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we take 51 away from 62, we end up with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 17

Advancing to step 4:
17 goes into 115 6 times with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 436.0
If we take 102 away from 115, we end up with 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 17

Going ahead to step 5:
If we divide 139 by 17, we get 8 and a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 4368.0
If we take 136 away from 139, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 17

On to step 6:
17 can be fit into 37 2 times, resulting in a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 43682.0
If we take 34 away from 37, we end up with 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 7:
30 divided by 17 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 43682.1
If we take 17 away from 30, we end up 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.

Going ahead to step 8:
The number 17 fits into 130 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 43682.17
If we take 119 away from 130, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
17 goes into 110 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 43682.176
Subtracting 102 from 110 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 17 fits into 80 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 43682.1764
If we take 68 away from 80, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
If we divide 120 by 17, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 43682.17647
The remainder is 1 after subtracting 119 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 17 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 43682.17647
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 43682.1764705
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
When dividing 150 by 17, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 43682.17647058
Subtracting 136 from 150 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 43682.17647058 with a remaining 1.4e-08.