We're dividing 559869 by 76 
We want to figure out the number of times 559869 can be divided by 76.

On to step 1:
5 divided by 76 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 76

Going ahead to step 2:
If we divide 55 by 76, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Grab the next digit (9) from the dividend, add it to 55, then carry on: 559 / 76

On to step 3:
If we divide 559 by 76, we get 7 and a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 532 away from 559, we end up with 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 76

Moving on to step 4:
If we divide 278 by 76, we get 3 and a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtracting 228 from 278 leaves us with 50.
Bring next digit (6) of the dividend behind the 50 and repeat the process: 506 / 76

Moving on to step 5:
76 goes into 506 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 736.0
Subtract 456 from 506 to get 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 76

Going ahead to step 6:
If we divide 509 by 76, we get 6 and a remainder of 53.
The next digit of our result is 6. 
Result so far: 7366.0
If we take 456 away from 509, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
76 can be fit into 530 6 times, resulting in a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 7366.6
Deduct 456 from 530 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
76 goes into 740 9 times with a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 7366.69
Deduct 684 from 740 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 9:
If we divide 560 by 76, we get 7 and a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 7366.697
Subtract 532 from 560 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.

Step 10:
If we divide 280 by 76, we get 3 and a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 7366.6973
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 11:
76 can be fit into 520 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 7366.69736
The remainder is 64 after subtracting 456 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 12:
76 goes into 640 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 7366.697368
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.

Let's proceed to step 13:
320 divided by 76 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 7366.6973684
Deduct 304 from 320 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.

Let's proceed to step 14:
If we divide 160 by 76, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 7366.69736842
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 7366.69736842 and a remainder of 8e-09.