We're dividing 536979 by 9 
We're looking to find how many times 9 goes into 536979.

Step 1:
If we divide 5 by 9, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 9

On to step 2:
If we divide 53 by 9, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 45 away from 53, we end up with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 9

Advancing to step 3:
9 can be fit into 86 9 times, resulting in a remainder of 5.
The next digit of our result is 9. 
Result so far: 59.0
The remainder is 5 after subtracting 81 from 86.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 9

On to step 4:
If we divide 59 by 9, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.0
Subtract 54 from 59 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 9

Step 5:
The number 9 fits into 57 6 times, leaving a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 5966.0
Deduct 54 from 57 and we're left with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 9

Let's proceed to step 6:
39 divided by 9 is 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 59664.0
The remainder is 3 after subtracting 36 from 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

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: 59664.3
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.

Going ahead to step 8:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 59664.33
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 59664.33 and a remainder of 0.003.