Let's divide 377003 by 75
We want to figure out the number of times 377003 can be divided by 75.

Moving on to step 1:
75 goes into 3 0 times 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.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 75

Let's proceed to step 2:
When dividing 37 by 75, we get 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 75

Moving on to step 3:
377 divided by 75 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 2 after subtracting 375 from 377.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 75

Let's proceed to step 4:
75 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
If we take 0 away from 20, we end up with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 75

On to step 5:
75 can be fit into 200 2 times, resulting in a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 502.0
If we subtract 150 from 200, we get 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 75

Advancing to step 6:
503 divided by 75 is 6 with a remainder of 53.
Write down 6 as next digit of the result. 
Result so far: 5026.0
If we subtract 450 from 503, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
75 can be fit into 530 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 5026.7
Subtracting 525 from 530 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 75 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 5026.7
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5026.706
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 5026.7066
If we take 450 away from 500, we end up 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 outcome is 5026.7066, with a leftover of 0.0005.