154289 ÷ 46 
Our goal is to divide 154289 by 46.

On to step 1:
The number 46 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 46

Let's proceed to step 2:
46 can be fit into 15 0 times, resulting in a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 46

Advancing to step 3:
46 goes into 154 3 times with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 138 from 154, we get 16.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 46

Advancing to step 4:
46 can be fit into 162 3 times, resulting in a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 138 from 162 to get 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 46

Let's proceed to step 5:
The number 46 fits into 248 5 times, leaving a remainder of 18.
The next digit of our result is 5. 
Result so far: 335.0
Subtracting 230 from 248 leaves us with 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 46

On to step 6:
46 goes into 189 4 times with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 3354.0
Subtracting 184 from 189 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 46, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 3354.1
The remainder is 4 after subtracting 46 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 46 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 3354.1
The remainder is 40 after subtracting 0 from 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 9:
46 goes into 400 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 3354.108
The remainder is 32 after subtracting 368 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
If we divide 320 by 46, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 3354.1086
Deduct 276 from 320 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 11:
440 divided by 46 is 9 with a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 3354.10869
The remainder is 26 after subtracting 414 from 440.
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 12:
46 goes into 260 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 3354.108695
If we subtract 230 from 260, we 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.

Moving on to step 13:
46 goes into 300 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 3354.1086956
The remainder is 24 after subtracting 276 from 300.
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 14:
If we divide 240 by 46, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 3354.10869565
If we subtract 230 from 240, 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.

Our division results in 3354.10869565 with a remaining 1e-08.