Let's divide 174977 by 41
Our goal is to divide 174977 by 41.

Advancing to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 41

Going ahead to step 2:
41 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 41

Advancing to step 3:
When dividing 174 by 41, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 164 from 174 and we're left with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 41

On to step 4:
41 can be fit into 109 2 times, resulting in a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 82 from 109 to get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 41

Advancing to step 5:
277 divided by 41 is 6 with a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 426.0
Subtract 246 from 277 to get 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 41

Advancing to step 6:
41 goes into 317 7 times with a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 4267.0
Subtract 287 from 317 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
41 goes into 300 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 4267.7
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
If we divide 130 by 41, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 4267.73
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
41 goes into 70 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 4267.731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
290 divided by 41 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 4267.7317
If we take 287 away from 290, we end up with 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 11:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 4267.7317
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 4267.731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
If we divide 130 by 41, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 4267.7317073
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
The number 41 fits into 70 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 4267.73170731
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 4267.73170731, with a leftover of 2.9e-08.