32378 ÷ 41 
Our goal is to divide 32378 by 41.

Advancing to step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 41

On to step 2:
If we divide 32 by 41, we get 0 and a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Grab the next digit (3) from the dividend, add it to 32, then carry on: 323 / 41

Going ahead to step 3:
If we divide 323 by 41, we get 7 and a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 287 from 323 leaves us with 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 41

Moving on to step 4:
When dividing 367 by 41, we get 8 with a remainder of 39.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 328 from 367, we get 39.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 41

Advancing to step 5:
The number 41 fits into 398 9 times, leaving a remainder of 29.
The next digit of our result is 9. 
Result so far: 789.0
Deduct 369 from 398 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 6:
If we divide 290 by 41, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 789.7
Deduct 287 from 290 and we're left 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.

Moving on to step 7:
30 divided by 41 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 789.7
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
When dividing 300 by 41, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 789.707
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.

Step 9:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 789.7073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
The number 41 fits into 70 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 789.70731
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.

On to step 11:
41 goes into 290 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 789.707317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
41 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 789.707317
If we subtract 0 from 30, we 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.

On to step 13:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 789.70731707
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.

In conclusion, the division gives 789.70731707 with a balance of 1.3e-08.