We're dividing 413106 by 77 
Let's see how many times 77 fits into 413106.

Going ahead to step 1:
4 divided by 77 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 77

Step 2:
When dividing 41 by 77, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 77

Step 3:
77 can be fit into 413 5 times, resulting in a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 385 from 413 to get 28.
Bring next digit (1) of the dividend behind the 28 and repeat the process: 281 / 77

Step 4:
281 divided by 77 is 3 with a remainder of 50.
The next digit of our result is 3. 
Result so far: 53.0
If we subtract 231 from 281, we get 50.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 77

Let's proceed to step 5:
When dividing 500 by 77, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 536.0
If we subtract 462 from 500, we get 38.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 77

Step 6:
If we divide 386 by 77, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5365.0
Subtract 385 from 386 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 7:
If we divide 10 by 77, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5365.0
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.

Moving on to step 8:
When dividing 100 by 77, we get 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 5365.01
The remainder is 23 after subtracting 77 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
230 divided by 77 is 2 with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 5365.012
If we take 154 away from 230, we end up 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.

Going ahead to step 10:
If we divide 760 by 77, we get 9 and a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 5365.0129
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 11:
The number 77 fits into 670 8 times, leaving a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 5365.01298
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.

Let's proceed to step 12:
If we divide 540 by 77, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 5365.012987
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.

On to step 13:
When dividing 10 by 77, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5365.012987
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
77 goes into 100 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 5365.01298701
The remainder is 23 after subtracting 77 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final outcome is 5365.01298701, with a leftover of 2.3e-08.