We're dividing 577777 by 89 
We want to divide 577777 by 89.

On to step 1:
89 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 89

On to step 2:
The number 89 fits into 57 0 times, leaving a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Fetch the next digit (7) from the dividend, attach it to 57 and continue: 577 / 89

Let's proceed to step 3:
89 goes into 577 6 times with a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 534 from 577, we get 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 89

Let's proceed to step 4:
When dividing 437 by 89, we get 4 with a remainder of 81.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtracting 356 from 437 leaves us with 81.
Grab the next digit (7) from the dividend, add it to 81, then carry on: 817 / 89

Step 5:
When dividing 817 by 89, we get 9 with a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 649.0
Deduct 801 from 817 and we're left with 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 89

Let's proceed to step 6:
When dividing 167 by 89, we get 1 with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 6491.0
If we subtract 89 from 167, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 7:
When dividing 780 by 89, we get 8 with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 6491.8
If we subtract 712 from 780, 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.

Let's proceed to step 8:
89 can be fit into 680 7 times, resulting in a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 6491.87
If we take 623 away from 680, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 9:
570 divided by 89 is 6 with a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 6491.876
The remainder is 36 after subtracting 534 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
If we divide 360 by 89, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 6491.8764
Subtracting 356 from 360 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 11:
When dividing 40 by 89, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6491.8764
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
When dividing 400 by 89, we get 4 with a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 6491.876404
If we subtract 356 from 400, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 13:
89 goes into 440 4 times with a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 6491.8764044
Deduct 356 from 440 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final result is 6491.8764044 with a remainder of 8.4e-07.