Let's divide 171741 by 4
Our goal is to divide 171741 by 4.

Advancing to step 1:
4 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
Subtract 0 from 1 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 4

Let's proceed to step 2:
The number 4 fits into 17 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 16 from 17 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 4

Step 3:
11 divided by 4 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we subtract 8 from 11, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 4

On to step 4:
The number 4 fits into 37 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 429.0
Subtract 36 from 37 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 4

On to step 5:
The number 4 fits into 14 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 4293.0
Subtracting 12 from 14 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

On to step 6:
If we divide 21 by 4, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 42935.0
Subtracting 20 from 21 leaves us 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.

On to step 7:
If we divide 10 by 4, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 42935.2
Deduct 8 from 10 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
4 goes into 20 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 42935.25
Subtract 20 from 20 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 42935.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 42935.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 42935.25, and the remainder is 0.0.