345663 ÷ 77 
Our goal is to divide 345663 by 77.

On to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 77

Let's proceed to step 2:
If we divide 34 by 77, we get 0 and a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 77

Going ahead to step 3:
The number 77 fits into 345 4 times, leaving a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 308 from 345 leaves us with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 77

Going ahead to step 4:
77 can be fit into 376 4 times, resulting in a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 44.0
Deduct 308 from 376 and we're left with 68.
Include the next digit (6) from the dividend after 68, then repeat: 686 / 77

Going ahead to step 5:
The number 77 fits into 686 8 times, leaving a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 448.0
If we subtract 616 from 686, we get 70.
Bring next digit (3) of the dividend behind the 70 and repeat the process: 703 / 77

Moving on to step 6:
703 divided by 77 is 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 4489.0
The remainder is 10 after subtracting 693 from 703.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
77 can be fit into 100 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 4489.1
Subtracting 77 from 100 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
The number 77 fits into 230 2 times, leaving a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 4489.12
The remainder is 76 after subtracting 154 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 9:
The number 77 fits into 760 9 times, leaving a remainder of 67.
Write down 9 as next digit of the result. 
Result so far: 4489.129
The remainder is 67 after subtracting 693 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 10:
77 goes into 670 8 times with a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 4489.1298
If we take 616 away from 670, we end up 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.

Going ahead to step 11:
When dividing 540 by 77, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 4489.12987
Subtract 539 from 540 to get 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 12:
The number 77 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 4489.12987
If we subtract 0 from 10, we get 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 13:
If we divide 100 by 77, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 4489.1298701
Deduct 77 from 100 and we're left with 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 14:
The number 77 fits into 230 2 times, leaving a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 4489.12987012
Deduct 154 from 230 and we're left 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.

The quotient of the division is 4489.12987012, and the remainder is 7.6e-08.