Let's divide 742279 by 16
Our goal is to divide 742279 by 16.

Step 1:
16 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 16

Going ahead to step 2:
If we divide 74 by 16, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 64 from 74, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 16

Let's proceed to step 3:
16 can be fit into 102 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Subtracting 96 from 102 leaves us with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 16

Advancing to step 4:
62 divided by 16 is 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 463.0
Subtract 48 from 62 to get 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 16

Let's proceed to step 5:
The number 16 fits into 147 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 4639.0
Subtract 144 from 147 to get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 16

Going ahead to step 6:
16 goes into 39 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 46392.0
If we subtract 32 from 39, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
16 can be fit into 70 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 46392.4
If we subtract 64 from 70, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
The number 16 fits into 60 3 times, leaving a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 46392.43
Subtract 48 from 60 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.

Step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The next digit of our result is 7. 
Result so far: 46392.437
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.

Going ahead to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 46392.4375
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.

Let's proceed to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 46392.4375
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.

Going ahead to step 12:
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: 46392.4375
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.

The quotient of the division is 46392.4375, and the remainder is 0.0.