We're dividing 6428397 by 582 
We're looking to find how many times 582 goes into 6428397.

On to step 1:
582 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 582

On to step 2:
When dividing 64 by 582, we get 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 582

Going ahead to step 3:
582 goes into 642 1 times with a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 582 from 642 leaves us with 60.
Include the next digit (8) from the dividend after 60, then repeat: 608 / 582

On to step 4:
The number 582 fits into 608 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 582 away from 608, we end up with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 582

Going ahead to step 5:
582 can be fit into 263 0 times, resulting in a remainder of 263.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
The remainder is 263 after subtracting 0 from 263.
Include the next digit (9) from the dividend after 263, then repeat: 2639 / 582

On to step 6:
When dividing 2639 by 582, we get 4 with a remainder of 311.
Put 4 as the next digit of the answer. 
Result so far: 1104.0
The remainder is 311 after subtracting 2328 from 2639.
Take the next digit (7) from the dividend and append it to 311, then repeat: 3117 / 582

Let's proceed to step 7:
If we divide 3117 by 582, we get 5 and a remainder of 207.
The next digit of our result is 5. 
Result so far: 11045.0
Subtracting 2910 from 3117 leaves us with 207.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Going ahead to step 8:
If we divide 2070 by 582, we get 3 and a remainder of 324.
Use 3 as the next digit of our solution. 
Result so far: 11045.3
If we take 1746 away from 2070, we end up with 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Let's proceed to step 9:
582 can be fit into 3240 5 times, resulting in a remainder of 330.
The number 5 becomes the next digit in our result. 
Result so far: 11045.35
The remainder is 330 after subtracting 2910 from 3240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

On to step 10:
When dividing 3300 by 582, we get 5 with a remainder of 390.
Record the quotient 5 as the next digit in the result. 
Result so far: 11045.355
Subtracting 2910 from 3300 leaves us with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

The quotient of the division is 11045.355, and the remainder is 0.039.