83377890 ÷ 405 
We want to figure out the number of times 83377890 can be divided by 405.

On to step 1:
405 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 405

Let's proceed to step 2:
83 divided by 405 is 0 with a remainder of 83.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 83 to get 83.
Append the next digit (3) from the dividend to 83 and continue with: 833 / 405

Advancing to step 3:
833 divided by 405 is 2 with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 810 from 833 leaves us with 23.
Fetch the next digit (7) from the dividend, attach it to 23 and continue: 237 / 405

Step 4:
If we divide 237 by 405, we get 0 and a remainder of 237.
The next digit of our result is 0. 
Result so far: 20.0
Subtract 0 from 237 to get 237.
Fetch the next digit (7) from the dividend, attach it to 237 and continue: 2377 / 405

Going ahead to step 5:
2377 divided by 405 is 5 with a remainder of 352.
Write down 5 as next digit of the result. 
Result so far: 205.0
If we take 2025 away from 2377, we end up with 352.
Include the next digit (8) from the dividend after 352, then repeat: 3528 / 405

Let's proceed to step 6:
405 goes into 3528 8 times with a remainder of 288.
Record the quotient 8 as the next digit in the result. 
Result so far: 2058.0
If we take 3240 away from 3528, we end up with 288.
Take the next digit (9) from the dividend and append it to 288, then repeat: 2889 / 405

Let's proceed to step 7:
When dividing 2889 by 405, we get 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 20587.0
Subtract 2835 from 2889 to get 54.
Grab the next digit (0) from the dividend, add it to 54, then carry on: 540 / 405

Advancing to step 8:
405 goes into 540 1 times with a remainder of 135.
Write down 1 as next digit of the result. 
Result so far: 205871.0
The remainder is 135 after subtracting 405 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Advancing to step 9:
405 goes into 1350 3 times with a remainder of 135.
Use 3 as the next digit of our solution. 
Result so far: 205871.3
The remainder is 135 after subtracting 1215 from 1350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Let's proceed to step 10:
The number 405 fits into 1350 3 times, leaving a remainder of 135.
Put 3 as the next digit of the answer. 
Result so far: 205871.33
Deduct 1215 from 1350 and we're left with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

In conclusion, the division gives 205871.33 with a balance of 0.135.