6320 ÷ 44 
We want to divide 6320 by 44.

On to step 1:
The number 44 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 44

On to step 2:
The number 44 fits into 63 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 19 after subtracting 44 from 63.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 44

Going ahead to step 3:
If we divide 192 by 44, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 176 away from 192, we end up with 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 44

Moving on to step 4:
The number 44 fits into 160 3 times, leaving a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 143.0
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 5:
When dividing 280 by 44, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 143.6
Subtracting 264 from 280 leaves us 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.

Step 6:
The number 44 fits into 160 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.63
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
When dividing 280 by 44, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 143.636
Subtract 264 from 280 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:
44 goes into 160 3 times with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 143.6363
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
44 can be fit into 280 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 143.63636
Deduct 264 from 280 and we're left 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.

Moving on to step 10:
If we divide 160 by 44, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.636363
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
The number 44 fits into 280 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 143.6363636
Deduct 264 from 280 and we're left 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.

Moving on to step 12:
If we divide 160 by 44, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.63636363
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 143.63636363 and a remainder of 2.8e-08.