157405 divided by 16 
Our goal is to divide 157405 by 16.

Step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 16

Step 2:
If we divide 15 by 16, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 16

Moving on to step 3:
16 goes into 157 9 times with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 144 from 157, we get 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 16

Step 4:
The number 16 fits into 134 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Subtract 128 from 134 to get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 16

Going ahead to step 5:
If we divide 60 by 16, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 983.0
Subtract 48 from 60 to get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 16

Moving on to step 6:
16 goes into 125 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 9837.0
Subtracting 112 from 125 leaves us 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:
16 can be fit into 130 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9837.8
If we take 128 away from 130, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
When dividing 20 by 16, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 9837.81
Subtract 16 from 20 to 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:
When dividing 40 by 16, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 9837.812
If we subtract 32 from 40, we get 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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 9837.8125
The remainder is 0 after subtracting 80 from 80.
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:
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: 9837.8125
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.

Advancing to step 12:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 9837.8125
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.

After the division, we end up with 9837.8125 and a remainder of 0.0.