We're dividing 642680 by 17 
We're looking to find how many times 17 goes into 642680.

Moving on to step 1:
The number 17 fits into 6 0 times, leaving 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

Going ahead to step 2:
When dividing 64 by 17, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 51 from 64 and we're left with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 17

Let's proceed to step 3:
17 goes into 132 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 37.0
The remainder is 13 after subtracting 119 from 132.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 17

Advancing to step 4:
136 divided by 17 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 378.0
The remainder is 0 after subtracting 136 from 136.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 17

Advancing to step 5:
The number 17 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 3780.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 17

Moving on to step 6:
The number 17 fits into 80 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 37804.0
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 7:
When dividing 120 by 17, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 37804.7
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.

Let's proceed to step 8:
If we divide 10 by 17, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 37804.7
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.

Advancing to step 9:
When dividing 100 by 17, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 37804.705
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.

Step 10:
17 can be fit into 150 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 37804.7058
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 11:
140 divided by 17 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 37804.70588
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 37804.70588 with a remaining 4e-06.