We look at the division of 377975 by 68 
Our goal is to divide 377975 by 68.

Advancing to step 1:
68 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 68

Let's proceed to step 2:
The number 68 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 68

Let's proceed to step 3:
The number 68 fits into 377 5 times, leaving a remainder of 37.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 37 after subtracting 340 from 377.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 68

Advancing to step 4:
379 divided by 68 is 5 with a remainder of 39.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtracting 340 from 379 leaves us with 39.
Fetch the next digit (7) from the dividend, attach it to 39 and continue: 397 / 68

On to step 5:
The number 68 fits into 397 5 times, leaving a remainder of 57.
The number 5 becomes the next digit in our result. 
Result so far: 555.0
The remainder is 57 after subtracting 340 from 397.
Grab the next digit (5) from the dividend, add it to 57, then carry on: 575 / 68

Going ahead to step 6:
575 divided by 68 is 8 with a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 5558.0
Subtract 544 from 575 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
68 can be fit into 310 4 times, resulting in a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 5558.4
Subtract 272 from 310 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
The number 68 fits into 380 5 times, leaving a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 5558.45
If we subtract 340 from 380, 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.

Step 9:
If we divide 400 by 68, we get 5 and a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 5558.455
The remainder is 60 after subtracting 340 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The quotient of the division is 5558.455, and the remainder is 0.006.