We divide 766438 by 41
We're looking to find how many times 41 goes into 766438.

Step 1:
41 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 41

Step 2:
If we divide 76 by 41, we get 1 and a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 76, we get 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 41

Advancing to step 3:
41 can be fit into 356 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtracting 328 from 356 leaves us with 28.
Grab the next digit (4) from the dividend, add it to 28, then carry on: 284 / 41

Moving on to step 4:
41 can be fit into 284 6 times, resulting in a remainder of 38.
The next digit of our result is 6. 
Result so far: 186.0
The remainder is 38 after subtracting 246 from 284.
Append the next digit (3) from the dividend to 38 and continue with: 383 / 41

Moving on to step 5:
41 can be fit into 383 9 times, resulting in a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 1869.0
Deduct 369 from 383 and we're left with 14.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 41

Advancing to step 6:
If we divide 148 by 41, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 18693.0
If we subtract 123 from 148, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
When dividing 250 by 41, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 18693.6
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 18693.6
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
If we divide 400 by 41, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 18693.609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 10:
If we divide 310 by 41, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 18693.6097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 11:
41 goes into 230 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 18693.60975
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
The number 41 fits into 250 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 18693.609756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 18693.609756
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
The number 41 fits into 400 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 18693.60975609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 18693.60975609 with a remaining 3.1e-08.