953311 ÷ 44 
We want to figure out the number of times 953311 can be divided by 44.

Advancing to step 1:
If we divide 9 by 44, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 44

Advancing to step 2:
44 can be fit into 95 2 times, resulting in a remainder of 7.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 7 after subtracting 88 from 95.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 44

Advancing to step 3:
73 divided by 44 is 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 21.0
The remainder is 29 after subtracting 44 from 73.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 44

Let's proceed to step 4:
293 divided by 44 is 6 with a remainder of 29.
The next digit of our result is 6. 
Result so far: 216.0
The remainder is 29 after subtracting 264 from 293.
Take the next digit (1) from the dividend and append it to 29, then repeat: 291 / 44

Going ahead to step 5:
44 can be fit into 291 6 times, resulting in a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 2166.0
Deduct 264 from 291 and we're left with 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 44

Advancing to step 6:
44 can be fit into 271 6 times, resulting in a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 21666.0
Deduct 264 from 271 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
When dividing 70 by 44, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 21666.1
If we take 44 away from 70, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
If we divide 260 by 44, we get 5 and a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 21666.15
Subtracting 220 from 260 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 21666.159
Subtracting 396 from 400 leaves us 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.

Step 10:
When dividing 40 by 44, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 21666.159
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
When dividing 400 by 44, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 21666.15909
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
If we divide 40 by 44, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 21666.15909
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
When dividing 400 by 44, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 21666.1590909
Subtracting 396 from 400 leaves us 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.

On to step 14:
The number 44 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 21666.1590909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 21666.1590909, with a leftover of 4e-08.