We look at the division of 626794 by 17 
We want to divide 626794 by 17.

Let's proceed to step 1:
If we divide 6 by 17, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 17

Let's proceed to step 2:
If we divide 62 by 17, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 51 from 62, we get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 17

Let's proceed to step 3:
116 divided by 17 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtracting 102 from 116 leaves us with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 17

Moving on to step 4:
If we divide 147 by 17, we get 8 and a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 368.0
Deduct 136 from 147 and we're left with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 17

Moving on to step 5:
The number 17 fits into 119 7 times, leaving a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 3687.0
If we subtract 119 from 119, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 17

Let's proceed to step 6:
If we divide 4 by 17, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 36870.0
Deduct 0 from 4 and we're left 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.

On to step 7:
40 divided by 17 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 36870.2
Subtract 34 from 40 to get 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:
60 divided by 17 is 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 36870.23
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
17 goes into 90 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 36870.235
Deduct 85 from 90 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
If we divide 50 by 17, we get 2 and a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 36870.2352
Subtracting 34 from 50 leaves us 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.

On to step 11:
When dividing 160 by 17, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 36870.23529
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.

Going ahead to step 12:
If we divide 70 by 17, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 36870.235294
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
20 divided by 17 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 36870.2352941
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.

On to step 14:
When dividing 30 by 17, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 36870.23529411
The remainder is 13 after subtracting 17 from 30.
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 36870.23529411 with a remainder of 1.3e-08.