We're dividing 425117 by 16 
We're looking to find how many times 16 goes into 425117.

Let's proceed to step 1:
4 divided by 16 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 16

Let's proceed to step 2:
16 goes into 42 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 32 away from 42, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 16

Step 3:
If we divide 105 by 16, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 26.0
Subtracting 96 from 105 leaves us with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 16

Let's proceed to step 4:
16 goes into 91 5 times with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 265.0
The remainder is 11 after subtracting 80 from 91.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 16

Moving on to step 5:
111 divided by 16 is 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 2656.0
Subtract 96 from 111 to get 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 16

Step 6:
When dividing 157 by 16, we get 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 26569.0
Deduct 144 from 157 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
If we divide 130 by 16, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 26569.8
Subtract 128 from 130 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 16, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 26569.81
Subtracting 16 from 20 leaves us 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.

On to step 9:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 26569.812
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.

On to step 10:
16 goes into 80 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 26569.8125
Subtract 80 from 80 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 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 26569.8125
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.

Let's proceed to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 26569.8125
Subtracting 0 from 0 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.

In conclusion, the division gives 26569.8125 with a balance of 0.0.