We're dividing 613333 by 9 
We want to figure out the number of times 613333 can be divided by 9.

Going ahead to step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 9

Going ahead to step 2:
61 divided by 9 is 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 7 after subtracting 54 from 61.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 9

Going ahead to step 3:
If we divide 73 by 9, we get 8 and a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Subtracting 72 from 73 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Moving on to step 4:
When dividing 13 by 9, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 681.0
Deduct 9 from 13 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Going ahead to step 5:
9 can be fit into 43 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 6814.0
Deduct 36 from 43 and we're left with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 9

On to step 6:
The number 9 fits into 73 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 68148.0
The remainder is 1 after subtracting 72 from 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 68148.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
9 goes into 10 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 68148.11
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 68148.11 and a remainder of 0.001.