We look at the division of 977583 by 16 
We want to figure out the number of times 977583 can be divided by 16.

On to step 1:
If we divide 9 by 16, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 16

Advancing to step 2:
97 divided by 16 is 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 1 after subtracting 96 from 97.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 16

Let's proceed to step 3:
If we divide 17 by 16, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 61.0
Deduct 16 from 17 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 16

Advancing to step 4:
The number 16 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 610.0
If we subtract 0 from 15, we get 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 16

Moving on to step 5:
158 divided by 16 is 9 with a remainder of 14.
The next digit of our result is 9. 
Result so far: 6109.0
If we take 144 away from 158, we end up with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 16

Moving on to step 6:
16 goes into 143 8 times with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 61098.0
The remainder is 15 after subtracting 128 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
16 can be fit into 150 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 61098.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
When dividing 60 by 16, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 61098.93
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
When dividing 120 by 16, we get 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 61098.937
Deduct 112 from 120 and we're left 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.

Advancing to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 61098.9375
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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 61098.9375
If we subtract 0 from 0, 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.

Going ahead to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 61098.9375
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.

Our division results in 61098.9375 with a remaining 0.0.