We look at the division of 377668 by 57 
We're looking to find how many times 57 goes into 377668.

Going ahead to step 1:
3 divided by 57 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 57

Advancing to step 2:
The number 57 fits into 37 0 times, leaving a remainder of 37.
Use 0 as the next digit of our solution. 
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 / 57

Moving on to step 3:
When dividing 377 by 57, we get 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 342 from 377 and we're left with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 57

Going ahead to step 4:
356 divided by 57 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 66.0
Deduct 342 from 356 and we're left with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 57

Advancing to step 5:
57 can be fit into 146 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 662.0
The remainder is 32 after subtracting 114 from 146.
Take the next digit (8) from the dividend and append it to 32, then repeat: 328 / 57

Let's proceed to step 6:
57 can be fit into 328 5 times, resulting in a remainder of 43.
Use 5 as the next digit of our solution. 
Result so far: 6625.0
If we subtract 285 from 328, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
57 goes into 430 7 times with a remainder of 31.
The next digit of our result is 7. 
Result so far: 6625.7
Subtracting 399 from 430 leaves us with 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 8:
When dividing 310 by 57, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6625.75
Subtracting 285 from 310 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
250 divided by 57 is 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 6625.754
Subtracting 228 from 250 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
220 divided by 57 is 3 with a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 6625.7543
Subtracting 171 from 220 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 11:
When dividing 490 by 57, we get 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 6625.75438
The remainder is 34 after subtracting 456 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
When dividing 340 by 57, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 6625.754385
If we subtract 285 from 340, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 13:
57 goes into 550 9 times with a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 6625.7543859
If we subtract 513 from 550, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 14:
57 goes into 370 6 times with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 6625.75438596
Subtracting 342 from 370 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 6625.75438596 with a remainder of 2.8e-08.