We're dividing 625940 by 9 
We're looking to find how many times 9 goes into 625940.

On to step 1:
If we divide 6 by 9, we get 0 and 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 (2) from the dividend to 6 and continue with: 62 / 9

Step 2:
If we divide 62 by 9, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 54 from 62, we get 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 9

Step 3:
If we divide 85 by 9, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we subtract 81 from 85, we get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 9

Step 4:
49 divided by 9 is 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 695.0
Subtracting 45 from 49 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 9

Let's proceed to step 5:
If we divide 44 by 9, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 6954.0
Subtracting 36 from 44 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 9

Advancing to step 6:
If we divide 80 by 9, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 69548.0
The remainder is 8 after subtracting 72 from 80.
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 7:
9 goes into 80 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 69548.8
If we subtract 72 from 80, 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:
If we divide 80 by 9, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 69548.88
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 69548.88 and a remainder of 0.008.