678843 divided by 41 
Let's see how many times 41 fits into 678843.

Advancing to step 1:
41 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 41

Moving on to step 2:
67 divided by 41 is 1 with a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 41 from 67, we get 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 41

Going ahead to step 3:
268 divided by 41 is 6 with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 246 from 268 leaves us with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 41

Step 4:
41 goes into 228 5 times with a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtract 205 from 228 to get 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 41

On to step 5:
41 goes into 234 5 times with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 1655.0
Deduct 205 from 234 and we're left with 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 41

On to step 6:
293 divided by 41 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 16557.0
Subtract 287 from 293 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
41 goes into 60 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 16557.1
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 8:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 16557.14
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
41 goes into 260 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 16557.146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
If we divide 140 by 41, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 16557.1463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 11:
170 divided by 41 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 16557.14634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 16557.146341
Subtracting 41 from 60 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 16557.1463414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 16557.14634146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 16557.14634146 with a remainder of 1.4e-08.