We're dividing 589102 by 77 
We're looking to find how many times 77 goes into 589102.

On to step 1:
77 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 77

Step 2:
The number 77 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 77

Step 3:
The number 77 fits into 589 7 times, leaving a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 539 from 589 and we're left with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 77

Let's proceed to step 4:
77 goes into 501 6 times with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 39 after subtracting 462 from 501.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 77

Advancing to step 5:
When dividing 390 by 77, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 765.0
Subtract 385 from 390 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 77

Step 6:
If we divide 52 by 77, we get 0 and a remainder of 52.
The next digit of our result is 0. 
Result so far: 7650.0
Subtracting 0 from 52 leaves us 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.

Let's proceed to step 7:
If we divide 520 by 77, we get 6 and a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 7650.6
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
77 goes into 580 7 times with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 7650.67
Subtracting 539 from 580 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
When dividing 410 by 77, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7650.675
If we subtract 385 from 410, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
When dividing 250 by 77, we get 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 7650.6753
Subtract 231 from 250 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 11:
The number 77 fits into 190 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 7650.67532
If we subtract 154 from 190, 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.

Advancing to step 12:
77 can be fit into 360 4 times, resulting in a remainder of 52.
The next digit of our result is 4. 
Result so far: 7650.675324
Subtract 308 from 360 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.

Going ahead to step 13:
77 goes into 520 6 times with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 7650.6753246
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 14:
580 divided by 77 is 7 with a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 7650.67532467
The remainder is 41 after subtracting 539 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 7650.67532467, with a leftover of 4.1e-08.