We look at the division of 173944 by 66 
Our goal is to divide 173944 by 66.

Step 1:
66 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 66

Moving on to step 2:
When dividing 17 by 66, we get 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 66

On to step 3:
66 goes into 173 2 times with a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 132 from 173 leaves us with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 66

Advancing to step 4:
66 can be fit into 419 6 times, resulting in a remainder of 23.
The next digit of our result is 6. 
Result so far: 26.0
Subtract 396 from 419 to get 23.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 66

Step 5:
66 can be fit into 234 3 times, resulting in a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 263.0
If we subtract 198 from 234, we get 36.
Fetch the next digit (4) from the dividend, attach it to 36 and continue: 364 / 66

Step 6:
364 divided by 66 is 5 with a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 2635.0
If we take 330 away from 364, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 66 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 2635.5
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
66 goes into 100 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 2635.51
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
66 can be fit into 340 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2635.515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 66, we get 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 2635.5151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
66 goes into 340 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2635.51515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
When dividing 100 by 66, we get 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 2635.515151
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 13:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2635.5151515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 2635.51515151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 2635.51515151, with a leftover of 3.4e-08.