We're dividing 642443 by 44 
We want to figure out the number of times 642443 can be divided by 44.

Step 1:
44 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 44

Moving on to step 2:
The number 44 fits into 64 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 44 from 64 to get 20.
Grab the next digit (2) from the dividend, add it to 20, then carry on: 202 / 44

Moving on to step 3:
202 divided by 44 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 26 after subtracting 176 from 202.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 44

On to step 4:
If we divide 264 by 44, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 146.0
If we take 264 away from 264, we end up with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 44

Advancing to step 5:
44 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 1460.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 44

Advancing to step 6:
The number 44 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 14600.0
If we take 0 away from 43, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
44 goes into 430 9 times with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 14600.9
The remainder is 34 after subtracting 396 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
44 can be fit into 340 7 times, resulting in a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 14600.97
If we take 308 away from 340, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
44 goes into 320 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 14600.977
Subtract 308 from 320 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 14600.977, and the remainder is 0.0012.