301961 divided by 16 
We want to figure out the number of times 301961 can be divided by 16.

Going ahead to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 16

Step 2:
30 divided by 16 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 16 from 30 and we're left with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 16

Moving on to step 3:
When dividing 141 by 16, we get 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtracting 128 from 141 leaves us with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 16

Let's proceed to step 4:
16 goes into 139 8 times with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 188.0
If we take 128 away from 139, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 16

On to step 5:
When dividing 116 by 16, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 1887.0
Subtracting 112 from 116 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 16

Advancing to step 6:
If we divide 41 by 16, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 18872.0
The remainder is 9 after subtracting 32 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 16, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 18872.5
If we subtract 80 from 90, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 16, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 18872.56
If we subtract 96 from 100, 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 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 18872.562
Subtracting 32 from 40 leaves us 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.

On to step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 18872.5625
If we subtract 80 from 80, we get 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 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: 18872.5625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 18872.5625
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.

After the division, we end up with 18872.5625 and a remainder of 0.0.