377591 ÷ 68 
Let's see how many times 68 fits into 377591.

Advancing to step 1:
3 divided by 68 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 68

Step 2:
68 goes into 37 0 times with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 68

On to step 3:
68 goes into 377 5 times with a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 37 after subtracting 340 from 377.
Fetch the next digit (5) from the dividend, attach it to 37 and continue: 375 / 68

Step 4:
The number 68 fits into 375 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Deduct 340 from 375 and we're left with 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 68

Let's proceed to step 5:
68 can be fit into 359 5 times, resulting in a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 555.0
Subtracting 340 from 359 leaves us with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 68

Moving on to step 6:
68 goes into 191 2 times with a remainder of 55.
The next digit of our result is 2. 
Result so far: 5552.0
Deduct 136 from 191 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
550 divided by 68 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 5552.8
If we take 544 away from 550, 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.

Let's proceed to step 8:
68 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 5552.8
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
68 can be fit into 600 8 times, resulting in a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 5552.808
Subtract 544 from 600 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
560 divided by 68 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5552.8088
Subtracting 544 from 560 leaves us with 16.
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 5552.8088 with a balance of 0.00016.