133024 ÷ 21 
We're looking to find how many times 21 goes into 133024.

Going ahead to step 1:
If we divide 1 by 21, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 21

Moving on to step 2:
21 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 21

Advancing to step 3:
When dividing 133 by 21, we get 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 126 from 133 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 21

Advancing to step 4:
When dividing 70 by 21, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 63 from 70 and we're left with 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 21

Advancing to step 5:
72 divided by 21 is 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 633.0
Subtracting 63 from 72 leaves us with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 21

On to step 6:
21 goes into 94 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 6334.0
Subtracting 84 from 94 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.

Let's proceed to step 7:
21 can be fit into 100 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6334.4
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
21 goes into 160 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 6334.47
If we take 147 away from 160, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
The number 21 fits into 130 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6334.476
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 21 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 6334.4761
Subtracting 21 from 40 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 11:
21 can be fit into 190 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 6334.47619
If we subtract 189 from 190, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
21 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 6334.47619
If we subtract 0 from 10, we get 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 13:
100 divided by 21 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6334.4761904
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
If we divide 160 by 21, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 6334.47619047
Subtracting 147 from 160 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 6334.47619047 and a remainder of 1.3e-08.