Let's divide 61221 by 9
We want to figure out the number of times 61221 can be divided by 9.

Advancing to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 9

Step 2:
When dividing 61 by 9, we get 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 54 from 61 to get 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 9

Let's proceed to step 3:
72 divided by 9 is 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 68.0
The remainder is 0 after subtracting 72 from 72.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 9

Let's proceed to step 4:
If we divide 2 by 9, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 680.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 9

Moving on to step 5:
When dividing 21 by 9, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 6802.0
Subtracting 18 from 21 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 6802.3
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 6802.33
Subtract 27 from 30 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 6802.33, and the remainder is 0.003.