406789 ÷ 42 
Our goal is to divide 406789 by 42.

Moving on to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 42

Advancing to step 2:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 42

Moving on to step 3:
When dividing 406 by 42, we get 9 with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 28 after subtracting 378 from 406.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 42

Step 4:
42 can be fit into 287 6 times, resulting in a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 96.0
The remainder is 35 after subtracting 252 from 287.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 42

Step 5:
42 goes into 358 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 968.0
The remainder is 22 after subtracting 336 from 358.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 42

Moving on to step 6:
The number 42 fits into 229 5 times, leaving a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 9685.0
The remainder is 19 after subtracting 210 from 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
42 goes into 190 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 9685.4
The remainder is 22 after subtracting 168 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 9685.45
Subtract 210 from 220 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
100 divided by 42 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 9685.452
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
160 divided by 42 is 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 9685.4523
Subtracting 126 from 160 leaves us 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.

On to step 11:
42 goes into 340 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 9685.45238
If we take 336 away from 340, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 42 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 9685.45238
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
If we divide 400 by 42, we get 9 and a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 9685.4523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
42 can be fit into 220 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9685.45238095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 9685.45238095 with a balance of 1e-08.