We're dividing 945905 by 9 
We want to figure out the number of times 945905 can be divided by 9.

On to step 1:
When dividing 9 by 9, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 9 away from 9, we end up with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 9

Step 2:
9 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 4 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 9

Going ahead to step 3:
45 divided by 9 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 105.0
Subtracting 45 from 45 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 9

Moving on to step 4:
9 divided by 9 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1051.0
Deduct 9 from 9 and we're left with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 9

On to step 5:
If we divide 0 by 9, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 10510.0
Deduct 0 from 0 and we're left with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 9

On to step 6:
When dividing 5 by 9, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 105100.0
Deduct 0 from 5 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 7:
50 divided by 9 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 105100.5
Subtracting 45 from 50 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.

On to step 8:
If we divide 50 by 9, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 105100.55
Subtracting 45 from 50 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.

The final result is 105100.55 with a remainder of 0.005.