645586 ÷ 17 
We're looking to find how many times 17 goes into 645586.

On to step 1:
17 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 17

Let's proceed to step 2:
If we divide 64 by 17, we get 3 and a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 51 from 64 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 17

On to step 3:
The number 17 fits into 135 7 times, leaving a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 16 after subtracting 119 from 135.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 17

Moving on to step 4:
When dividing 165 by 17, we get 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 379.0
Subtract 153 from 165 to get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 17

Step 5:
17 can be fit into 128 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 3797.0
The remainder is 9 after subtracting 119 from 128.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 17

Let's proceed to step 6:
17 can be fit into 96 5 times, resulting in a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 37975.0
If we take 85 away from 96, 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.

Let's proceed to step 7:
The number 17 fits into 110 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 37975.6
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 17 fits into 80 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 37975.64
Subtracting 68 from 80 leaves us 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.

On to step 9:
120 divided by 17 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 37975.647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
When dividing 10 by 17, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 37975.647
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.

Let's proceed to step 11:
17 can be fit into 100 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 37975.64705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
If we divide 150 by 17, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 37975.647058
If we take 136 away from 150, we end up 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.

Advancing to step 13:
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: 37975.6470588
Subtracting 136 from 140 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.

After the division, we end up with 37975.6470588 and a remainder of 4e-08.