We're dividing 154401 by 42 
We want to divide 154401 by 42.

Let's proceed to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 42

Let's proceed to step 2:
The number 42 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 42

Going ahead to step 3:
42 goes into 154 3 times with a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 126 from 154 to get 28.
Bring next digit (4) of the dividend behind the 28 and repeat the process: 284 / 42

Moving on to step 4:
42 can be fit into 284 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we subtract 252 from 284, we get 32.
Fetch the next digit (0) from the dividend, attach it to 32 and continue: 320 / 42

Step 5:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 367.0
The remainder is 26 after subtracting 294 from 320.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 42

Moving on to step 6:
261 divided by 42 is 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 3676.0
If we take 252 away from 261, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 42 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 3676.2
Deduct 84 from 90 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
42 goes into 60 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 3676.21
Subtracting 42 from 60 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.

Moving on to step 9:
42 goes into 180 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 3676.214
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.

Step 10:
42 goes into 120 2 times with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 3676.2142
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.

Moving on to step 11:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 3676.21428
Subtract 336 from 360 to 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.

Going ahead to step 12:
240 divided by 42 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 3676.214285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
If we divide 300 by 42, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 3676.2142857
Subtract 294 from 300 to 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.

Let's proceed to step 14:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 3676.21428571
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.

In conclusion, the division gives 3676.21428571 with a balance of 1.8e-08.