We look at the division of 177340 by 41 
Our goal is to divide 177340 by 41.

On to step 1:
When dividing 1 by 41, we get 0 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.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 41

Let's proceed to step 2:
When dividing 17 by 41, we get 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 41

Let's proceed to step 3:
177 divided by 41 is 4 with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 164 from 177 and we're left with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 41

Moving on to step 4:
When dividing 133 by 41, we get 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Subtract 123 from 133 to get 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 41

Let's proceed to step 5:
41 goes into 104 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 432.0
Subtracting 82 from 104 leaves us with 22.
Bring next digit (0) of the dividend behind the 22 and repeat the process: 220 / 41

Step 6:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 4325.0
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 4325.3
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
41 can be fit into 270 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 4325.36
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
When dividing 240 by 41, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 4325.365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 4325.3658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
If we divide 220 by 41, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4325.36585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
41 goes into 150 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 4325.365853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
41 can be fit into 270 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 4325.3658536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
The number 41 fits into 240 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 4325.36585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 4325.36585365, with a leftover of 3.5e-08.