We look at the division of 265674 by 17 
We want to figure out the number of times 265674 can be divided by 17.

Going ahead to step 1:
2 divided by 17 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 17

Advancing to step 2:
26 divided by 17 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 17 from 26, we get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 17

On to step 3:
17 can be fit into 95 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 10 after subtracting 85 from 95.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 17

Moving on to step 4:
When dividing 106 by 17, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we subtract 102 from 106, we get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 17

Going ahead to step 5:
When dividing 47 by 17, we get 2 with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 1562.0
Subtract 34 from 47 to get 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 17

Advancing to step 6:
When dividing 134 by 17, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 15627.0
If we take 119 away from 134, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
17 goes into 150 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 15627.8
Subtract 136 from 150 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.

On to step 8:
140 divided by 17 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 15627.88
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 15627.88, and the remainder is 0.004.