We look at the division of 421654 by 77 
Our goal is to divide 421654 by 77.

Step 1:
77 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 77

Step 2:
When dividing 42 by 77, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 77

Let's proceed to step 3:
77 goes into 421 5 times with a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 385 from 421 and we're left with 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 77

Let's proceed to step 4:
When dividing 366 by 77, we get 4 with a remainder of 58.
The next digit of our result is 4. 
Result so far: 54.0
Subtracting 308 from 366 leaves us with 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 77

Let's proceed to step 5:
The number 77 fits into 585 7 times, leaving a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 547.0
Deduct 539 from 585 and we're left with 46.
Grab the next digit (4) from the dividend, add it to 46, then carry on: 464 / 77

Step 6:
When dividing 464 by 77, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5476.0
Subtracting 462 from 464 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 77, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5476.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
77 can be fit into 200 2 times, resulting in a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 5476.02
If we subtract 154 from 200, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
When dividing 460 by 77, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 5476.025
If we take 385 away from 460, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 10:
77 can be fit into 750 9 times, resulting in a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 5476.0259
Deduct 693 from 750 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 11:
77 goes into 570 7 times with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 5476.02597
The remainder is 31 after subtracting 539 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
The number 77 fits into 310 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 5476.025974
Subtract 308 from 310 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 77, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5476.025974
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
When dividing 200 by 77, we get 2 with a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 5476.02597402
Subtracting 154 from 200 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 5476.02597402 with a balance of 4.6e-08.