Let's divide 414616 by 77
We want to divide 414616 by 77.

Let's proceed to step 1:
77 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 77

Moving on to step 2:
41 divided by 77 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 77

Let's proceed to step 3:
414 divided by 77 is 5 with a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 385 from 414, we get 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 77

Advancing to step 4:
If we divide 296 by 77, we get 3 and a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we subtract 231 from 296, we get 65.
Take the next digit (1) from the dividend and append it to 65, then repeat: 651 / 77

Moving on to step 5:
651 divided by 77 is 8 with a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 538.0
If we subtract 616 from 651, we get 35.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 77

Moving on to step 6:
The number 77 fits into 356 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 5384.0
Subtracting 308 from 356 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
The number 77 fits into 480 6 times, leaving a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 5384.6
Subtracting 462 from 480 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
180 divided by 77 is 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 5384.62
Subtract 154 from 180 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
When dividing 260 by 77, we get 3 with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 5384.623
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
If we divide 290 by 77, we get 3 and a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 5384.6233
Deduct 231 from 290 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The quotient of the division is 5384.6233, and the remainder is 0.00059.