We're dividing 261395 by 16 
Our goal is to divide 261395 by 16.

Going ahead to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 16

Advancing to step 2:
26 divided by 16 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 16 from 26 and we're left with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 16

Going ahead to step 3:
101 divided by 16 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 96 from 101 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 16

Let's proceed to step 4:
The number 16 fits into 53 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 163.0
Subtract 48 from 53 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 16

Moving on to step 5:
If we divide 59 by 16, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 1633.0
Deduct 48 from 59 and we're left with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 16

Advancing to step 6:
115 divided by 16 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 16337.0
Subtract 112 from 115 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
16 goes into 30 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 16337.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
140 divided by 16 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 16337.18
Subtract 128 from 140 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
If we divide 120 by 16, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 16337.187
If we take 112 away from 120, 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.

Going ahead to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16337.1875
Deduct 80 from 80 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:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16337.1875
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.

Step 12:
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: 16337.1875
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 16337.1875 with a balance of 0.0.