We look at the division of 77182407 by 421 
We're looking to find how many times 421 goes into 77182407.

Advancing to step 1:
If we divide 7 by 421, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 421

Let's proceed to step 2:
77 divided by 421 is 0 with a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Fetch the next digit (1) from the dividend, attach it to 77 and continue: 771 / 421

On to step 3:
771 divided by 421 is 1 with a remainder of 350.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 421 away from 771, we end up with 350.
Take the next digit (8) from the dividend and append it to 350, then repeat: 3508 / 421

Step 4:
421 goes into 3508 8 times with a remainder of 140.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtract 3368 from 3508 to get 140.
Fetch the next digit (2) from the dividend, attach it to 140 and continue: 1402 / 421

Moving on to step 5:
The number 421 fits into 1402 3 times, leaving a remainder of 139.
Write down 3 as next digit of the result. 
Result so far: 183.0
Subtracting 1263 from 1402 leaves us with 139.
Bring next digit (4) of the dividend behind the 139 and repeat the process: 1394 / 421

Let's proceed to step 6:
421 can be fit into 1394 3 times, resulting in a remainder of 131.
The number 3 becomes the next digit in our result. 
Result so far: 1833.0
Subtract 1263 from 1394 to get 131.
Append the next digit (0) from the dividend to 131 and continue with: 1310 / 421

Advancing to step 7:
421 can be fit into 1310 3 times, resulting in a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 18333.0
Subtracting 1263 from 1310 leaves us with 47.
Append the next digit (7) from the dividend to 47 and continue with: 477 / 421

Let's proceed to step 8:
477 divided by 421 is 1 with a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 183331.0
The remainder is 56 after subtracting 421 from 477.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
If we divide 560 by 421, we get 1 and a remainder of 139.
The number 1 becomes the next digit in our result. 
Result so far: 183331.1
If we take 421 away from 560, we end up with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Advancing to step 10:
If we divide 1390 by 421, we get 3 and a remainder of 127.
Record the quotient 3 as the next digit in the result. 
Result so far: 183331.13
Subtract 1263 from 1390 to get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Moving on to step 11:
When dividing 1270 by 421, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 183331.133
Subtracting 1263 from 1270 leaves us 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.

The final result is 183331.133 with a remainder of 0.0007.