We divide 322261 by 44
We want to figure out the number of times 322261 can be divided by 44.

On to step 1:
When dividing 3 by 44, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 44

Let's proceed to step 2:
When dividing 32 by 44, we get 0 with a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 32 to get 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 44

Advancing to step 3:
44 can be fit into 322 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 14 after subtracting 308 from 322.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 44

Advancing to step 4:
If we divide 142 by 44, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 73.0
Subtract 132 from 142 to get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 44

On to step 5:
If we divide 106 by 44, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 732.0
Deduct 88 from 106 and we're left with 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 44

Step 6:
44 can be fit into 181 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 7324.0
If we take 176 away from 181, we end up 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.

Advancing to step 7:
If we divide 50 by 44, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 7324.1
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 44 is 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 7324.11
If we take 44 away from 60, we end up 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.

Our division results in 7324.11 with a remaining 0.016.