377342 divided by 75 
We're looking to find how many times 75 goes into 377342.

Advancing to step 1:
75 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.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 75

Going ahead to step 2:
37 divided by 75 is 0 with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 75

Let's proceed to step 3:
If we divide 377 by 75, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 375 from 377 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 75

Going ahead to step 4:
23 divided by 75 is 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
If we take 0 away from 23, we end up with 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 75

Going ahead to step 5:
If we divide 234 by 75, we get 3 and a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 503.0
Subtract 225 from 234 to get 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 75

Moving on to step 6:
When dividing 92 by 75, we get 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 5031.0
Subtracting 75 from 92 leaves us 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.

Step 7:
When dividing 170 by 75, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 5031.2
The remainder is 20 after subtracting 150 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 75, we get 2 and a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 5031.22
Deduct 150 from 200 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 5031.22 with a remainder of 0.05.