We're dividing 177554 by 11 
We want to figure out the number of times 177554 can be divided by 11.

Advancing to step 1:
1 divided by 11 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 11

On to step 2:
The number 11 fits into 17 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 11 away from 17, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

On to step 3:
When dividing 67 by 11, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 66 from 67 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 11

Advancing to step 4:
If we divide 15 by 11, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 161.0
Subtract 11 from 15 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 11

Step 5:
45 divided by 11 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 1614.0
Subtracting 44 from 45 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 11

Advancing to step 6:
11 goes into 14 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 16141.0
If we subtract 11 from 14, 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.

Let's proceed to step 7:
30 divided by 11 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 16141.2
Subtract 22 from 30 to 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.

On to step 8:
11 goes into 80 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 16141.27
The remainder is 3 after subtracting 77 from 80.
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 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 16141.272
Subtracting 22 from 30 leaves us 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.

On to step 10:
When dividing 80 by 11, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 16141.2727
Subtract 77 from 80 to 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.

Moving on to step 11:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 16141.27272
If we subtract 22 from 30, 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.

Moving on to step 12:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 16141.272727
Subtract 77 from 80 to 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.

Let's proceed to step 13:
30 divided by 11 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 16141.2727272
Deduct 22 from 30 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.

Going ahead to step 14:
11 can be fit into 80 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 16141.27272727
If we subtract 77 from 80, 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.

The final outcome is 16141.27272727, with a leftover of 3e-09.