We're dividing 626054 by 35 
We want to divide 626054 by 35.

Advancing to step 1:
The number 35 fits into 6 0 times, leaving 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.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 35

Moving on to step 2:
35 goes into 62 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 35 from 62 to get 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 35

Moving on to step 3:
276 divided by 35 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 245 from 276 leaves us with 31.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 35

Moving on to step 4:
310 divided by 35 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
Subtract 280 from 310 to get 30.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 35

Advancing to step 5:
305 divided by 35 is 8 with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 1788.0
The remainder is 25 after subtracting 280 from 305.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 35

On to step 6:
If we divide 254 by 35, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 17887.0
Deduct 245 from 254 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 7:
35 can be fit into 90 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 17887.2
Deduct 70 from 90 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 17887.25
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 17887.257
Subtracting 245 from 250 leaves us 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.

Moving on to step 10:
If we divide 50 by 35, we get 1 and a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 17887.2571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 17887.25714
If we subtract 140 from 150, we 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.

Moving on to step 12:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 17887.257142
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 17887.2571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 17887.25714285
If we take 175 away from 200, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 17887.25714285 with a remaining 2.5e-08.