We look at the division of 955626 by 16 
Our goal is to divide 955626 by 16.

Advancing to step 1:
The number 16 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 16

Let's proceed to step 2:
When dividing 95 by 16, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 80 from 95 and we're left with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 16

Going ahead to step 3:
If we divide 155 by 16, we get 9 and a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 59.0
If we subtract 144 from 155, we get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 16

Step 4:
116 divided by 16 is 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 597.0
Deduct 112 from 116 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 16

Going ahead to step 5:
42 divided by 16 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 5972.0
If we subtract 32 from 42, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 16

Let's proceed to step 6:
When dividing 106 by 16, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 59726.0
If we take 96 away from 106, we end up 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.

Moving on to step 7:
When dividing 100 by 16, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 59726.6
If we take 96 away from 100, we end up with 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 8:
If we divide 40 by 16, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 59726.62
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 59726.625
If we take 80 away from 80, we end up 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.

Step 10:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 59726.625
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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 59726.625
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.

The quotient of the division is 59726.625, and the remainder is 0.0.