975733 ÷ 21 
Our goal is to divide 975733 by 21.

Moving on to step 1:
When dividing 9 by 21, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 21

Moving on to step 2:
If we divide 97 by 21, we get 4 and a remainder of 13.
The next digit of our result is 4. 
Result so far: 4.0
If we take 84 away from 97, we end up with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 21

Step 3:
21 goes into 135 6 times with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
If we take 126 away from 135, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 21

Moving on to step 4:
97 divided by 21 is 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 464.0
If we take 84 away from 97, we end up with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 21

Advancing to step 5:
When dividing 133 by 21, we get 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 4646.0
If we subtract 126 from 133, we get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 21

Advancing to step 6:
21 can be fit into 73 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 46463.0
If we take 63 away from 73, we end up 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 goes into 100 4 times with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 46463.4
Subtract 84 from 100 to 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.

Let's proceed to step 8:
The number 21 fits into 160 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 46463.47
Deduct 147 from 160 and we're left 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.

Going ahead to step 9:
If we divide 130 by 21, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 46463.476
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.

Going ahead to step 10:
21 can be fit into 40 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 46463.4761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
When dividing 190 by 21, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 46463.47619
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
The number 21 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 46463.47619
Deduct 0 from 10 and we're left 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.

Advancing to step 13:
When dividing 100 by 21, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 46463.4761904
Subtract 84 from 100 to 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.

Going ahead to step 14:
21 can be fit into 160 7 times, resulting in a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 46463.47619047
Deduct 147 from 160 and we're left 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.

Our division results in 46463.47619047 with a remaining 1.3e-08.