We look at the division of 377003 by 7 
We want to divide 377003 by 7.

Advancing to step 1:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 7

Advancing to step 2:
If we divide 37 by 7, we get 5 and a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 35 from 37 to get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 7

Let's proceed to step 3:
When dividing 27 by 7, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Deduct 21 from 27 and we're left with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 7

Going ahead to step 4:
If we divide 60 by 7, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 538.0
The remainder is 4 after subtracting 56 from 60.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 7

Advancing to step 5:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5385.0
If we take 35 away from 40, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 7

On to step 6:
53 divided by 7 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 53857.0
If we subtract 49 from 53, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 53857.5
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 53857.57
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 53857.571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 53857.5714
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 53857.57142
Subtracting 14 from 20 leaves us 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.

Going ahead to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 53857.571428
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 53857.5714285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 53857.57142857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 53857.57142857 with a remainder of 1e-09.