We're dividing 535541 by 9 
We're looking to find how many times 9 goes into 535541.

Step 1:
5 divided by 9 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 9

Moving on to step 2:
If we divide 53 by 9, we get 5 and a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 45 from 53 and we're left with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 9

Step 3:
The number 9 fits into 85 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 59.0
Deduct 81 from 85 and we're left with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 9

Step 4:
If we divide 45 by 9, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 595.0
If we subtract 45 from 45, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 9

Advancing to step 5:
9 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 5950.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 9

Going ahead to step 6:
9 goes into 41 4 times with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 59504.0
The remainder is 5 after subtracting 36 from 41.
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.
Write down 5 as next digit of the result. 
Result so far: 59504.5
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.

Going ahead to step 8:
When dividing 50 by 9, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 59504.55
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 59504.55, and the remainder is 0.005.