Let's divide 790803 by 601
We want to divide 790803 by 601.

Going ahead to step 1:
If we divide 7 by 601, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 601

Going ahead to step 2:
The number 601 fits into 79 0 times, leaving a remainder of 79.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 79 and we're left with 79.
Include the next digit (0) from the dividend after 79, then repeat: 790 / 601

Let's proceed to step 3:
When dividing 790 by 601, we get 1 with a remainder of 189.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 601 from 790, we get 189.
Take the next digit (8) from the dividend and append it to 189, then repeat: 1898 / 601

Moving on to step 4:
When dividing 1898 by 601, we get 3 with a remainder of 95.
The next digit of our result is 3. 
Result so far: 13.0
If we take 1803 away from 1898, we end up with 95.
Fetch the next digit (0) from the dividend, attach it to 95 and continue: 950 / 601

On to step 5:
When dividing 950 by 601, we get 1 with a remainder of 349.
The next digit of our result is 1. 
Result so far: 131.0
If we subtract 601 from 950, we get 349.
Include the next digit (3) from the dividend after 349, then repeat: 3493 / 601

Step 6:
If we divide 3493 by 601, we get 5 and a remainder of 488.
The next digit of our result is 5. 
Result so far: 1315.0
Subtracting 3005 from 3493 leaves us with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Let's proceed to step 7:
The number 601 fits into 4880 8 times, leaving a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 1315.8
If we take 4808 away from 4880, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 8:
601 can be fit into 720 1 times, resulting in a remainder of 119.
The next digit of our result is 1. 
Result so far: 1315.81
If we subtract 601 from 720, we get 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Advancing to step 9:
1190 divided by 601 is 1 with a remainder of 589.
The number 1 becomes the next digit in our result. 
Result so far: 1315.811
If we subtract 601 from 1190, we get 589.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5890, and continue the process.

The final result is 1315.811 with a remainder of 0.0589.