We're dividing 172630 by 16 
We want to figure out the number of times 172630 can be divided by 16.

Advancing to step 1:
16 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 16

Let's proceed to step 2:
16 can be fit into 17 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 16 from 17 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 16

Going ahead to step 3:
16 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 16

On to step 4:
The number 16 fits into 126 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 107.0
Subtract 112 from 126 to get 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 16

Moving on to step 5:
The number 16 fits into 143 8 times, leaving a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 1078.0
The remainder is 15 after subtracting 128 from 143.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 16

Moving on to step 6:
When dividing 150 by 16, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 10789.0
Subtract 144 from 150 to 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.

Moving on to step 7:
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: 10789.3
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
16 goes into 120 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 10789.37
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.

Advancing to step 9:
80 divided by 16 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 10789.375
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 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10789.375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10789.375
The remainder is 0 after subtracting 0 from 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 10789.375 and a remainder of 0.0.