461300 ÷ 77 
Our goal is to divide 461300 by 77.

Let's proceed to step 1:
77 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 77

Advancing to step 2:
When dividing 46 by 77, we get 0 with a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 46 after subtracting 0 from 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 77

Moving on to step 3:
If we divide 461 by 77, we get 5 and a remainder of 76.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 385 from 461 leaves us with 76.
Grab the next digit (3) from the dividend, add it to 76, then carry on: 763 / 77

Going ahead to step 4:
763 divided by 77 is 9 with a remainder of 70.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtracting 693 from 763 leaves us with 70.
Append the next digit (0) from the dividend to 70 and continue with: 700 / 77

Moving on to step 5:
The number 77 fits into 700 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 599.0
If we subtract 693 from 700, we get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 77

Advancing to step 6:
77 can be fit into 70 0 times, resulting in a remainder of 70.
The next digit of our result is 0. 
Result so far: 5990.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 7:
77 goes into 700 9 times with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 5990.9
Deduct 693 from 700 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
77 can be fit into 70 0 times, resulting in a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 5990.9
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 9:
When dividing 700 by 77, we get 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 5990.909
Deduct 693 from 700 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
When dividing 70 by 77, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 5990.909
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
77 goes into 700 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 5990.90909
If we subtract 693 from 700, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
If we divide 70 by 77, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 5990.90909
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
When dividing 700 by 77, we get 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 5990.9090909
The remainder is 7 after subtracting 693 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
When dividing 70 by 77, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 5990.9090909
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 5990.9090909, and the remainder is 7e-08.