645477 ÷ 17 
We're looking to find how many times 17 goes into 645477.

On to step 1:
6 divided by 17 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 17

On to step 2:
64 divided by 17 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 51 from 64, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 17

Step 3:
135 divided by 17 is 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Deduct 119 from 135 and we're left with 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 17

Step 4:
17 can be fit into 164 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 379.0
Deduct 153 from 164 and we're left with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 17

Advancing to step 5:
If we divide 117 by 17, we get 6 and a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 3796.0
If we subtract 102 from 117, we get 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 17

On to step 6:
If we divide 157 by 17, we get 9 and a remainder of 4.
The next digit of our result is 9. 
Result so far: 37969.0
Subtracting 153 from 157 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
When dividing 40 by 17, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 37969.2
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
The number 17 fits into 60 3 times, leaving a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 37969.23
If we subtract 51 from 60, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
90 divided by 17 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 37969.235
Subtract 85 from 90 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
The number 17 fits into 50 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 37969.2352
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
17 can be fit into 160 9 times, resulting in a remainder of 7.
The next digit of our result is 9. 
Result so far: 37969.23529
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 37969.235294
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 17, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 37969.2352941
If we take 17 away from 20, 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.

Let's proceed to step 14:
When dividing 30 by 17, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 37969.23529411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 37969.23529411 with a remainder of 1.3e-08.