Let's divide 644907 by 9
We want to figure out the number of times 644907 can be divided by 9.

On to step 1:
When dividing 6 by 9, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 9

Step 2:
If we divide 64 by 9, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 63 from 64, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 9

On to step 3:
9 goes into 14 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 71.0
Subtracting 9 from 14 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 9

Going ahead to step 4:
If we divide 59 by 9, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 716.0
Deduct 54 from 59 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 9

Moving on to step 5:
When dividing 50 by 9, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7165.0
Subtract 45 from 50 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 9

On to step 6:
9 goes into 57 6 times with a remainder of 3.
The next digit of our result is 6. 
Result so far: 71656.0
Subtract 54 from 57 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 71656.3
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
When dividing 30 by 9, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 71656.33
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 71656.33, and the remainder is 0.003.