We look at the division of 153951 by 46 
Our goal is to divide 153951 by 46.

On to step 1:
The number 46 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 46

Let's proceed to step 2:
15 divided by 46 is 0 with 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.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 46

Advancing to step 3:
46 can be fit into 153 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 138 from 153 and we're left with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 46

On to step 4:
If we divide 159 by 46, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 33.0
Subtract 138 from 159 to get 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 46

Going ahead to step 5:
215 divided by 46 is 4 with a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 334.0
Subtracting 184 from 215 leaves us with 31.
Include the next digit (1) from the dividend after 31, then repeat: 311 / 46

Step 6:
When dividing 311 by 46, we get 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 3346.0
If we take 276 away from 311, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
46 goes into 350 7 times with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 3346.7
Subtracting 322 from 350 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
The number 46 fits into 280 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 3346.76
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
When dividing 40 by 46, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 3346.76
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
46 can be fit into 400 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3346.7608
Deduct 368 from 400 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
320 divided by 46 is 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 3346.76086
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.

Advancing to step 12:
440 divided by 46 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 3346.760869
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.

Going ahead to step 13:
260 divided by 46 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 3346.7608695
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.

Step 14:
300 divided by 46 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 3346.76086956
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.

The final result is 3346.76086956 with a remainder of 2.4e-08.