Let's divide 289762 by 41
We're looking to find how many times 41 goes into 289762.

Step 1:
When dividing 2 by 41, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 41

On to step 2:
The number 41 fits into 28 0 times, leaving a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 28 leaves us with 28.
Bring next digit (9) of the dividend behind the 28 and repeat the process: 289 / 41

Moving on to step 3:
The number 41 fits into 289 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 287 from 289 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 41

Let's proceed to step 4:
41 goes into 27 0 times with a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Deduct 0 from 27 and we're left with 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 41

Let's proceed to step 5:
If we divide 276 by 41, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 706.0
Deduct 246 from 276 and we're left with 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 41

Advancing to step 6:
If we divide 302 by 41, we get 7 and a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 7067.0
Subtracting 287 from 302 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.

Let's proceed to step 7:
The number 41 fits into 150 3 times, leaving a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 7067.3
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.

On to step 8:
270 divided by 41 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 7067.36
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.

Let's proceed to step 9:
41 goes into 240 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7067.365
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.

Going ahead to step 10:
41 goes into 350 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 7067.3658
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.

Moving on to step 11:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 7067.36585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 7067.365853
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
When dividing 270 by 41, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 7067.3658536
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.

Going ahead to step 14:
If we divide 240 by 41, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 7067.36585365
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 7067.36585365 with a balance of 3.5e-08.