We're dividing 419750 by 77 
We want to figure out the number of times 419750 can be divided by 77.

Step 1:
4 divided by 77 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 77

On to step 2:
41 divided by 77 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 77

Moving on to step 3:
419 divided by 77 is 5 with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 385 away from 419, we end up with 34.
Include the next digit (7) from the dividend after 34, then repeat: 347 / 77

Step 4:
77 goes into 347 4 times with a remainder of 39.
Use 4 as the next digit of our solution. 
Result so far: 54.0
The remainder is 39 after subtracting 308 from 347.
Include the next digit (5) from the dividend after 39, then repeat: 395 / 77

Moving on to step 5:
395 divided by 77 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 545.0
If we subtract 385 from 395, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 77

Step 6:
77 can be fit into 100 1 times, resulting in a remainder of 23.
The next digit of our result is 1. 
Result so far: 5451.0
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.

Going ahead to step 7:
77 goes into 230 2 times with a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 5451.2
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.

Step 8:
When dividing 760 by 77, we get 9 with a remainder of 67.
The next digit of our result is 9. 
Result so far: 5451.29
Subtract 693 from 760 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 9:
77 goes into 670 8 times with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 5451.298
Subtract 616 from 670 to get 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 10:
When dividing 540 by 77, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 5451.2987
If we subtract 539 from 540, we 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 11:
10 divided by 77 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5451.2987
The remainder is 10 after subtracting 0 from 10.
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 12:
The number 77 fits into 100 1 times, leaving a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 5451.298701
Subtract 77 from 100 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 13:
The number 77 fits into 230 2 times, leaving a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 5451.2987012
Subtract 154 from 230 to get 76.
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 14:
When dividing 760 by 77, we get 9 with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 5451.29870129
If we take 693 away from 760, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

The final result is 5451.29870129 with a remainder of 6.7e-08.