7737734 ÷ 729 
We want to divide 7737734 by 729.

Advancing to step 1:
729 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 729

Advancing to step 2:
If we divide 77 by 729, we get 0 and a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Take the next digit (3) from the dividend and append it to 77, then repeat: 773 / 729

Going ahead to step 3:
773 divided by 729 is 1 with a remainder of 44.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 729 from 773 and we're left with 44.
Take the next digit (7) from the dividend and append it to 44, then repeat: 447 / 729

On to step 4:
When dividing 447 by 729, we get 0 with a remainder of 447.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 447, we end up with 447.
Append the next digit (7) from the dividend to 447 and continue with: 4477 / 729

On to step 5:
The number 729 fits into 4477 6 times, leaving a remainder of 103.
The next digit of our result is 6. 
Result so far: 106.0
Subtracting 4374 from 4477 leaves us with 103.
Append the next digit (3) from the dividend to 103 and continue with: 1033 / 729

On to step 6:
If we divide 1033 by 729, we get 1 and a remainder of 304.
The next digit of our result is 1. 
Result so far: 1061.0
Subtract 729 from 1033 to get 304.
Append the next digit (4) from the dividend to 304 and continue with: 3044 / 729

Let's proceed to step 7:
729 can be fit into 3044 4 times, resulting in a remainder of 128.
The number 4 becomes the next digit in our result. 
Result so far: 10614.0
Subtracting 2916 from 3044 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Let's proceed to step 8:
1280 divided by 729 is 1 with a remainder of 551.
The number 1 becomes the next digit in our result. 
Result so far: 10614.1
If we take 729 away from 1280, we end up with 551.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5510, and continue the process.

Moving on to step 9:
The number 729 fits into 5510 7 times, leaving a remainder of 407.
The number 7 becomes the next digit in our result. 
Result so far: 10614.17
If we take 5103 away from 5510, we end up with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Let's proceed to step 10:
729 can be fit into 4070 5 times, resulting in a remainder of 425.
Write down 5 as next digit of the result. 
Result so far: 10614.175
Deduct 3645 from 4070 and we're left with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Let's proceed to step 11:
When dividing 4250 by 729, we get 5 with a remainder of 605.
Record the quotient 5 as the next digit in the result. 
Result so far: 10614.1755
The remainder is 605 after subtracting 3645 from 4250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6050, and continue the process.

The final outcome is 10614.1755, with a leftover of 0.00605.