We're dividing 41974 by 68 
Our goal is to divide 41974 by 68.

Advancing to step 1:
4 divided by 68 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 68

Advancing to step 2:
68 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 68

Moving on to step 3:
68 can be fit into 419 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 408 from 419, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 68

Advancing to step 4:
If we divide 117 by 68, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 68 from 117 leaves us with 49.
Grab the next digit (4) from the dividend, add it to 49, then carry on: 494 / 68

Going ahead to step 5:
The number 68 fits into 494 7 times, leaving a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
The remainder is 18 after subtracting 476 from 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 6:
68 goes into 180 2 times with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 617.2
If we take 136 away from 180, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
When dividing 440 by 68, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 617.26
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
320 divided by 68 is 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 617.264
If we subtract 272 from 320, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
If we divide 480 by 68, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 617.2647
Subtract 476 from 480 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 10:
When dividing 40 by 68, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 617.2647
If we subtract 0 from 40, we 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.

Advancing to step 11:
When dividing 400 by 68, we get 5 with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 617.264705
Subtract 340 from 400 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 12:
600 divided by 68 is 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 617.2647058
Subtracting 544 from 600 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 13:
If we divide 560 by 68, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 617.26470588
The remainder is 16 after subtracting 544 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 617.26470588 with a balance of 1.6e-08.