436642 ÷ 77 
We want to divide 436642 by 77.

Advancing to step 1:
When dividing 4 by 77, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 77

Let's proceed to step 2:
77 can be fit into 43 0 times, resulting in a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 77

Moving on to step 3:
77 goes into 436 5 times with a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 385 from 436 to get 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 77

Step 4:
When dividing 516 by 77, we get 6 with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
Subtracting 462 from 516 leaves us with 54.
Append the next digit (4) from the dividend to 54 and continue with: 544 / 77

Moving on to step 5:
77 can be fit into 544 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 567.0
The remainder is 5 after subtracting 539 from 544.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 77

Step 6:
The number 77 fits into 52 0 times, leaving a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 5670.0
The remainder is 52 after subtracting 0 from 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On 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: 5670.6
Deduct 462 from 520 and we're left 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.

Moving on to step 8:
77 goes into 580 7 times with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 5670.67
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.

Step 9:
The number 77 fits into 410 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 5670.675
If we take 385 away from 410, we end up with 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:
If we divide 250 by 77, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 5670.6753
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 11:
The number 77 fits into 190 2 times, leaving a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 5670.67532
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.

Let's proceed to step 12:
360 divided by 77 is 4 with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 5670.675324
If we take 308 away from 360, we end up 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.

Advancing to step 13:
The number 77 fits into 520 6 times, leaving a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 5670.6753246
If we subtract 462 from 520, we get 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:
77 can be fit into 580 7 times, resulting in a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 5670.67532467
Deduct 539 from 580 and we're left 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.

The quotient of the division is 5670.67532467, and the remainder is 4.1e-08.