We look at the division of 766137 by 43 
Our goal is to divide 766137 by 43.

Advancing to step 1:
When dividing 7 by 43, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 43

Going ahead to step 2:
43 goes into 76 1 times with a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 33 after subtracting 43 from 76.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 43

Let's proceed to step 3:
When dividing 336 by 43, we get 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 301 from 336 leaves us with 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 43

Let's proceed to step 4:
43 can be fit into 351 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 178.0
If we subtract 344 from 351, we get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 43

Step 5:
The number 43 fits into 73 1 times, leaving a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1781.0
The remainder is 30 after subtracting 43 from 73.
Include the next digit (7) from the dividend after 30, then repeat: 307 / 43

On to step 6:
43 can be fit into 307 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 17817.0
If we take 301 away from 307, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
60 divided by 43 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 17817.1
The remainder is 17 after subtracting 43 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
The number 43 fits into 170 3 times, leaving a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 17817.13
Subtracting 129 from 170 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.

Let's proceed to step 9:
If we divide 410 by 43, we get 9 and a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 17817.139
If we subtract 387 from 410, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
230 divided by 43 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 17817.1395
Subtract 215 from 230 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.

Advancing to step 11:
If we divide 150 by 43, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 17817.13953
Subtract 129 from 150 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
43 can be fit into 210 4 times, resulting in a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 17817.139534
Subtracting 172 from 210 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
When dividing 380 by 43, we get 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 17817.1395348
Subtract 344 from 380 to 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.

Moving on to step 14:
The number 43 fits into 360 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 17817.13953488
Subtract 344 from 360 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 17817.13953488 with a balance of 1.6e-08.