We're dividing 74117163 by 601 
We want to figure out the number of times 74117163 can be divided by 601.

Step 1:
601 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 601

Let's proceed to step 2:
When dividing 74 by 601, we get 0 with a remainder of 74.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 74, we end up with 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 601

On to step 3:
The number 601 fits into 741 1 times, leaving a remainder of 140.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 601 from 741, we get 140.
Include the next digit (1) from the dividend after 140, then repeat: 1401 / 601

Moving on to step 4:
601 can be fit into 1401 2 times, resulting in a remainder of 199.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 1202 from 1401 to get 199.
Take the next digit (7) from the dividend and append it to 199, then repeat: 1997 / 601

Going ahead to step 5:
The number 601 fits into 1997 3 times, leaving a remainder of 194.
The next digit of our result is 3. 
Result so far: 123.0
If we subtract 1803 from 1997, we get 194.
Fetch the next digit (1) from the dividend, attach it to 194 and continue: 1941 / 601

Moving on to step 6:
601 goes into 1941 3 times with a remainder of 138.
The next digit of our result is 3. 
Result so far: 1233.0
If we take 1803 away from 1941, we end up with 138.
Fetch the next digit (6) from the dividend, attach it to 138 and continue: 1386 / 601

Moving on to step 7:
601 can be fit into 1386 2 times, resulting in a remainder of 184.
The next digit of our result is 2. 
Result so far: 12332.0
If we take 1202 away from 1386, we end up with 184.
Take the next digit (3) from the dividend and append it to 184, then repeat: 1843 / 601

On to step 8:
When dividing 1843 by 601, we get 3 with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 123323.0
The remainder is 40 after subtracting 1803 from 1843.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
601 goes into 400 0 times with a remainder of 400.
The number 0 becomes the next digit in our result. 
Result so far: 123323.0
If we subtract 0 from 400, we get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

On to step 10:
601 can be fit into 4000 6 times, resulting in a remainder of 394.
Use 6 as the next digit of our solution. 
Result so far: 123323.06
The remainder is 394 after subtracting 3606 from 4000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

On to step 11:
The number 601 fits into 3940 6 times, leaving a remainder of 334.
The number 6 becomes the next digit in our result. 
Result so far: 123323.066
Subtracting 3606 from 3940 leaves us with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

The final outcome is 123323.066, with a leftover of 0.0334.