We're dividing 3378553 by 423 
We want to divide 3378553 by 423.

Moving on to step 1:
The number 423 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 423

Let's proceed to step 2:
If we divide 33 by 423, we get 0 and a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 423

Let's proceed to step 3:
The number 423 fits into 337 0 times, leaving a remainder of 337.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 337 leaves us with 337.
Take the next digit (8) from the dividend and append it to 337, then repeat: 3378 / 423

Step 4:
When dividing 3378 by 423, we get 7 with a remainder of 417.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 2961 from 3378, we get 417.
Take the next digit (5) from the dividend and append it to 417, then repeat: 4175 / 423

Step 5:
When dividing 4175 by 423, we get 9 with a remainder of 368.
Put 9 as the next digit of the answer. 
Result so far: 79.0
If we take 3807 away from 4175, we end up with 368.
Grab the next digit (5) from the dividend, add it to 368, then carry on: 3685 / 423

On to step 6:
The number 423 fits into 3685 8 times, leaving a remainder of 301.
The number 8 becomes the next digit in our result. 
Result so far: 798.0
If we subtract 3384 from 3685, we get 301.
Fetch the next digit (3) from the dividend, attach it to 301 and continue: 3013 / 423

Step 7:
If we divide 3013 by 423, we get 7 and a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 7987.0
Deduct 2961 from 3013 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
If we divide 520 by 423, we get 1 and a remainder of 97.
The next digit of our result is 1. 
Result so far: 7987.1
If we subtract 423 from 520, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Advancing to step 9:
423 goes into 970 2 times with a remainder of 124.
The next digit of our result is 2. 
Result so far: 7987.12
Deduct 846 from 970 and we're left with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Going ahead to step 10:
1240 divided by 423 is 2 with a remainder of 394.
The number 2 becomes the next digit in our result. 
Result so far: 7987.122
If we take 846 away from 1240, we end up with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

In conclusion, the division gives 7987.122 with a balance of 0.0394.