213442 ÷ 77 
Our goal is to divide 213442 by 77.

Going ahead to step 1:
When dividing 2 by 77, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 77

Advancing to step 2:
If we divide 21 by 77, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 77

Step 3:
77 goes into 213 2 times with a remainder of 59.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 59 after subtracting 154 from 213.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 77

Step 4:
If we divide 594 by 77, we get 7 and a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we take 539 away from 594, we end up with 55.
Take the next digit (4) from the dividend and append it to 55, then repeat: 554 / 77

Step 5:
When dividing 554 by 77, we get 7 with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 277.0
Deduct 539 from 554 and we're left with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 77

Going ahead to step 6:
152 divided by 77 is 1 with a remainder of 75.
The next digit of our result is 1. 
Result so far: 2771.0
Subtract 77 from 152 to get 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 7:
750 divided by 77 is 9 with a remainder of 57.
The next digit of our result is 9. 
Result so far: 2771.9
If we subtract 693 from 750, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 8:
77 goes into 570 7 times with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 2771.97
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.

On to step 9:
310 divided by 77 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 2771.974
Deduct 308 from 310 and we're left 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.

Step 10:
20 divided by 77 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2771.974
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.

Going ahead to step 11:
77 goes into 200 2 times with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 2771.97402
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.

Let's proceed to step 12:
The number 77 fits into 460 5 times, leaving a remainder of 75.
The next digit of our result is 5. 
Result so far: 2771.974025
The remainder is 75 after subtracting 385 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 13:
750 divided by 77 is 9 with a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 2771.9740259
If we take 693 away from 750, we end up 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 14:
When dividing 570 by 77, we get 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 2771.97402597
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.

The final result is 2771.97402597 with a remainder of 3.1e-08.