580589 ÷ 76 
We're looking to find how many times 76 goes into 580589.

Advancing to step 1:
When dividing 5 by 76, we get 0 with 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

Step 2:
If we divide 58 by 76, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 76

Going ahead to step 3:
If we divide 580 by 76, we get 7 and a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 532 from 580 leaves us with 48.
Include the next digit (5) from the dividend after 48, then repeat: 485 / 76

On to step 4:
485 divided by 76 is 6 with a remainder of 29.
The next digit of our result is 6. 
Result so far: 76.0
If we take 456 away from 485, we end up with 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 76

Moving on to step 5:
If we divide 298 by 76, we get 3 and a remainder of 70.
The number 3 becomes the next digit in our result. 
Result so far: 763.0
If we subtract 228 from 298, we get 70.
Fetch the next digit (9) from the dividend, attach it to 70 and continue: 709 / 76

Moving on to step 6:
709 divided by 76 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 7639.0
The remainder is 25 after subtracting 684 from 709.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
The number 76 fits into 250 3 times, leaving a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 7639.3
The remainder is 22 after subtracting 228 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 76, we get 2 with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 7639.32
If we take 152 away from 220, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 9:
680 divided by 76 is 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 7639.328
The remainder is 72 after subtracting 608 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
76 can be fit into 720 9 times, resulting in a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 7639.3289
If we subtract 684 from 720, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
360 divided by 76 is 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7639.32894
If we take 304 away from 360, we end up 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.

Going ahead to step 12:
560 divided by 76 is 7 with a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 7639.328947
Subtracting 532 from 560 leaves us 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.

Step 13:
280 divided by 76 is 3 with a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 7639.3289473
If we take 228 away from 280, we end up 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.

Moving on to step 14:
The number 76 fits into 520 6 times, leaving a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 7639.32894736
Deduct 456 from 520 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 7639.32894736 with a remaining 6.4e-08.