385405 ÷ 46 
Our goal is to divide 385405 by 46.

Going ahead to step 1:
The number 46 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 46

Going ahead to step 2:
The number 46 fits into 38 0 times, leaving a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Take the next digit (5) from the dividend and append it to 38, then repeat: 385 / 46

Let's proceed to step 3:
When dividing 385 by 46, we get 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 368 from 385 and we're left with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 46

Advancing to step 4:
When dividing 174 by 46, we get 3 with a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we subtract 138 from 174, we get 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 46

Advancing to step 5:
When dividing 360 by 46, we get 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 837.0
If we take 322 away from 360, we end up with 38.
Grab the next digit (5) from the dividend, add it to 38, then carry on: 385 / 46

On to step 6:
385 divided by 46 is 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 8378.0
If we subtract 368 from 385, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
170 divided by 46 is 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 8378.3
The remainder is 32 after subtracting 138 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
320 divided by 46 is 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 8378.36
The remainder is 44 after subtracting 276 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
440 divided by 46 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 8378.369
Subtracting 414 from 440 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
46 goes into 260 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 8378.3695
If we take 230 away from 260, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
If we divide 300 by 46, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 8378.36956
If we subtract 276 from 300, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
When dividing 240 by 46, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8378.369565
The remainder is 10 after subtracting 230 from 240.
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 13:
The number 46 fits into 100 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8378.3695652
Deduct 92 from 100 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 46 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 8378.36956521
Deduct 46 from 80 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 8378.36956521 with a balance of 3.4e-08.