436259 ÷ 77 
Our goal is to divide 436259 by 77.

Going ahead to step 1:
4 divided by 77 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 77

Going ahead to step 2:
The number 77 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Fetch the next digit (6) from the dividend, attach it to 43 and continue: 436 / 77

Advancing to step 3:
77 can be fit into 436 5 times, resulting in a remainder of 51.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 385 from 436 and we're left with 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 77

Advancing to step 4:
When dividing 512 by 77, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 56.0
Subtracting 462 from 512 leaves us with 50.
Bring next digit (5) of the dividend behind the 50 and repeat the process: 505 / 77

Going ahead to step 5:
77 can be fit into 505 6 times, resulting in a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 566.0
The remainder is 43 after subtracting 462 from 505.
Take the next digit (9) from the dividend and append it to 43, then repeat: 439 / 77

Step 6:
77 goes into 439 5 times with a remainder of 54.
Use 5 as the next digit of our solution. 
Result so far: 5665.0
If we subtract 385 from 439, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
540 divided by 77 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 5665.7
If we take 539 away from 540, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
The number 77 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5665.7
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
77 goes into 100 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 5665.701
If we subtract 77 from 100, 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.

On to step 10:
77 goes into 230 2 times with a remainder of 76.
The next digit of our result is 2. 
Result so far: 5665.7012
Subtracting 154 from 230 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 11:
77 can be fit into 760 9 times, resulting in a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 5665.70129
Subtract 693 from 760 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 12:
670 divided by 77 is 8 with a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 5665.701298
Deduct 616 from 670 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
77 can be fit into 540 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 5665.7012987
The remainder is 1 after subtracting 539 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
10 divided by 77 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5665.7012987
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 5665.7012987 with a remaining 1e-08.