921629 ÷ 15 
Our goal is to divide 921629 by 15.

Advancing to step 1:
The number 15 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 15

On to step 2:
If we divide 92 by 15, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 90 from 92 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 15

Step 3:
15 goes into 21 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 15 from 21 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 15

Going ahead to step 4:
If we divide 66 by 15, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 614.0
The remainder is 6 after subtracting 60 from 66.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 15

Going ahead to step 5:
15 can be fit into 62 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 6144.0
The remainder is 2 after subtracting 60 from 62.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 15

Moving on to step 6:
The number 15 fits into 29 1 times, leaving a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 61441.0
The remainder is 14 after subtracting 15 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
When dividing 140 by 15, we get 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 61441.9
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 61441.93
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 61441.933
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 61441.933, with a leftover of 0.0005.