We look at the division of 584434 by 77 
We're looking to find how many times 77 goes into 584434.

Moving on to step 1:
77 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 77

Let's proceed to step 2:
77 goes into 58 0 times with 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 (4) from the dividend and append it to 58, then repeat: 584 / 77

On to step 3:
77 goes into 584 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 539 from 584 leaves us with 45.
Append the next digit (4) from the dividend to 45 and continue with: 454 / 77

Step 4:
77 goes into 454 5 times with a remainder of 69.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we take 385 away from 454, we end up with 69.
Include the next digit (3) from the dividend after 69, then repeat: 693 / 77

Moving on to step 5:
If we divide 693 by 77, we get 9 and a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 759.0
Deduct 693 from 693 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 77

Moving on to step 6:
77 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 7590.0
Deduct 0 from 4 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
40 divided by 77 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 7590.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 77, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 7590.05
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
When dividing 150 by 77, we get 1 with a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 7590.051
Deduct 77 from 150 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 10:
If we divide 730 by 77, we get 9 and a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 7590.0519
Subtracting 693 from 730 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
When dividing 370 by 77, we get 4 with a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 7590.05194
Subtracting 308 from 370 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 12:
If we divide 620 by 77, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 7590.051948
Subtracting 616 from 620 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
77 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7590.051948
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
The number 77 fits into 400 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 7590.05194805
The remainder is 15 after subtracting 385 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 7590.05194805 with a remainder of 1.5e-08.