We divide 672345 by 16
Our goal is to divide 672345 by 16.

Step 1:
The number 16 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 16

Step 2:
When dividing 67 by 16, we get 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 64 from 67 to get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 16

Let's proceed to step 3:
16 goes into 32 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtract 32 from 32 to get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 16

Moving on to step 4:
The number 16 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 420.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 16

Moving on to step 5:
If we divide 34 by 16, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 4202.0
Subtracting 32 from 34 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 16

On to step 6:
25 divided by 16 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 42021.0
Deduct 16 from 25 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
16 can be fit into 90 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 42021.5
Subtracting 80 from 90 leaves us 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.

On to step 8:
16 goes into 100 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 42021.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 42021.562
Deduct 32 from 40 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.

Step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 42021.5625
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.

Moving on to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 42021.5625
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.

Moving on to step 12:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42021.5625
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.

The final outcome is 42021.5625, with a leftover of 0.0.