953404 ÷ 17 
We want to figure out the number of times 953404 can be divided by 17.

On to step 1:
When dividing 9 by 17, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 17

Going ahead to step 2:
17 can be fit into 95 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 10 after subtracting 85 from 95.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 17

Step 3:
103 divided by 17 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 56.0
If we subtract 102 from 103, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 17

On to step 4:
14 divided by 17 is 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 560.0
The remainder is 14 after subtracting 0 from 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 17

Going ahead to step 5:
When dividing 140 by 17, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5608.0
The remainder is 4 after subtracting 136 from 140.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 17

Moving on to step 6:
17 goes into 44 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 56082.0
Deduct 34 from 44 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 56082.5
Subtracting 85 from 100 leaves us 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.

Step 8:
150 divided by 17 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 56082.58
The remainder is 14 after subtracting 136 from 150.
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 9:
When dividing 140 by 17, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 56082.588
If we subtract 136 from 140, we 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.

Our division results in 56082.588 with a remaining 0.0004.