31778 divided by 41 
We want to divide 31778 by 41.

Advancing to step 1:
41 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 41

Moving on to step 2:
41 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 41

Advancing to step 3:
41 goes into 317 7 times with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 287 from 317 leaves us with 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 41

On to step 4:
307 divided by 41 is 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 77.0
Subtracting 287 from 307 leaves us with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 41

Step 5:
If we divide 208 by 41, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 775.0
If we subtract 205 from 208, 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.

Moving on to step 6:
The number 41 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 775.0
If we take 0 away from 30, we end up 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.

Let's proceed to step 7:
If we divide 300 by 41, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 775.07
Deduct 287 from 300 and we're left 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:
The number 41 fits into 130 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 775.073
The remainder is 7 after subtracting 123 from 130.
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 9:
70 divided by 41 is 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 775.0731
Subtracting 41 from 70 leaves us 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.

On to step 10:
41 goes into 290 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 775.07317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

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: 775.07317
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 12:
300 divided by 41 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 775.0731707
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.

On to step 13:
The number 41 fits into 130 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 775.07317073
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.

After the division, we end up with 775.07317073 and a remainder of 7e-09.