646155 ÷ 42 
Our goal is to divide 646155 by 42.

On to step 1:
The number 42 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 42

Step 2:
42 can be fit into 64 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 42 from 64 and we're left with 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 42

Let's proceed to step 3:
42 can be fit into 226 5 times, resulting in a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 210 away from 226, we end up with 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 42

Step 4:
If we divide 161 by 42, we get 3 and a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 153.0
If we subtract 126 from 161, we get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 42

Step 5:
42 can be fit into 355 8 times, resulting in a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 1538.0
The remainder is 19 after subtracting 336 from 355.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 42

Advancing to step 6:
195 divided by 42 is 4 with a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 15384.0
The remainder is 27 after subtracting 168 from 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
When dividing 270 by 42, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 15384.6
Subtracting 252 from 270 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 15384.64
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 15384.642
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 15384.6428
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15384.64285
Deduct 210 from 240 and we're left 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.

Moving on to step 12:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 15384.642857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
42 goes into 60 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 15384.6428571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 15384.64285714
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 15384.64285714 with a balance of 1.2e-08.