We're dividing 601097 by 16 
We want to figure out the number of times 601097 can be divided by 16.

Moving on to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 16

Let's proceed to step 2:
If we divide 60 by 16, we get 3 and a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 12 after subtracting 48 from 60.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 16

Advancing to step 3:
When dividing 121 by 16, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtract 112 from 121 to get 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 16

Step 4:
90 divided by 16 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 375.0
Subtract 80 from 90 to get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 16

Going ahead to step 5:
The number 16 fits into 109 6 times, leaving a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 3756.0
Subtract 96 from 109 to get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 16

Let's proceed to step 6:
When dividing 137 by 16, we get 8 with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 37568.0
The remainder is 9 after subtracting 128 from 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
The number 16 fits into 90 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 37568.5
Deduct 80 from 90 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
16 can be fit into 100 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 37568.56
Subtract 96 from 100 to 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.

Moving on to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 37568.562
If we take 32 away from 40, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 37568.5625
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 37568.5625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 37568.5625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 37568.5625 with a balance of 0.0.