We look at the division of 582258 by 76 
We're looking to find how many times 76 goes into 582258.

Going ahead to step 1:
The number 76 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 76

Let's proceed to step 2:
When dividing 58 by 76, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (2) from the dividend and append it to 58, then repeat: 582 / 76

On to step 3:
When dividing 582 by 76, we get 7 with a remainder of 50.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 532 from 582 to get 50.
Grab the next digit (2) from the dividend, add it to 50, then carry on: 502 / 76

Moving on to step 4:
76 goes into 502 6 times with a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 76.0
If we take 456 away from 502, we end up with 46.
Grab the next digit (5) from the dividend, add it to 46, then carry on: 465 / 76

Moving on to step 5:
465 divided by 76 is 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 766.0
Subtracting 456 from 465 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 76

Moving on to step 6:
If we divide 98 by 76, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 7661.0
Subtracting 76 from 98 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
When dividing 220 by 76, we get 2 with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 7661.2
If we subtract 152 from 220, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 8:
76 goes into 680 8 times with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 7661.28
If we take 608 away from 680, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
If we divide 720 by 76, we get 9 and a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 7661.289
The remainder is 36 after subtracting 684 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
76 can be fit into 360 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7661.2894
Deduct 304 from 360 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 11:
76 goes into 560 7 times with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 7661.28947
If we take 532 away from 560, we end up 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.

Moving on to step 12:
280 divided by 76 is 3 with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 7661.289473
Deduct 228 from 280 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
76 goes into 520 6 times with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 7661.2894736
If we subtract 456 from 520, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 14:
The number 76 fits into 640 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 7661.28947368
If we subtract 608 from 640, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 7661.28947368 with a remaining 3.2e-08.