155501 divided by 9 
We're looking to find how many times 9 goes into 155501.

Advancing to step 1:
9 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Moving on to step 2:
When dividing 15 by 9, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 9 from 15, we get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Advancing to step 3:
If we divide 65 by 9, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 63 from 65 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 4:
The number 9 fits into 25 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 172.0
Subtract 18 from 25 to get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 9

Going ahead to step 5:
9 goes into 70 7 times with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 1727.0
If we subtract 63 from 70, we get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 9

Going ahead to step 6:
If we divide 71 by 9, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 17277.0
Deduct 63 from 71 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 17277.8
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 17277.88
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 17277.88, with a leftover of 0.008.