345518 ÷ 16 
We're looking to find how many times 16 goes into 345518.

Advancing to step 1:
3 divided by 16 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 16

Going ahead to step 2:
If we divide 34 by 16, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 32 from 34 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 16

Let's proceed to step 3:
16 can be fit into 25 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 16 away from 25, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 16

Step 4:
16 goes into 95 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 215.0
Subtracting 80 from 95 leaves us with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 16

Let's proceed to step 5:
16 goes into 151 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 2159.0
The remainder is 7 after subtracting 144 from 151.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 16

Step 6:
If we divide 78 by 16, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 21594.0
Deduct 64 from 78 and we're left 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 7:
16 goes into 140 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 21594.8
The remainder is 12 after subtracting 128 from 140.
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 8:
If we divide 120 by 16, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 21594.87
Subtracting 112 from 120 leaves us 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 9:
16 goes into 80 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 21594.875
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.

Let's proceed to step 10:
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: 21594.875
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.

Going ahead to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 21594.875
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.

The quotient of the division is 21594.875, and the remainder is 0.0.