Let's divide 953888 by 9
We want to figure out the number of times 953888 can be divided by 9.

Going ahead to step 1:
9 divided by 9 is 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 9 from 9 leaves us with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 9

Advancing to step 2:
If we divide 5 by 9, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 9

On to step 3:
9 can be fit into 53 5 times, resulting in a remainder of 8.
The next digit of our result is 5. 
Result so far: 105.0
Subtracting 45 from 53 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 9

Going ahead to step 4:
88 divided by 9 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 1059.0
The remainder is 7 after subtracting 81 from 88.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 9

Step 5:
9 goes into 78 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 10598.0
The remainder is 6 after subtracting 72 from 78.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 9

Step 6:
9 goes into 68 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 105987.0
Deduct 63 from 68 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:
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: 105987.5
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.

Moving on to step 8:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 105987.55
If we take 45 away from 50, we end up 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 quotient of the division is 105987.55, and the remainder is 0.005.