Which is the BEST estimate of the quotient of 149 divided by 33?

5

Step-by-step explanation:

Step 1:  

Start by setting it up with the divisor 33 on the left side and the dividend 149 on the right side like this:  

33⟌149

Step 2:

The divisor (33) goes into the first digit of the dividend (1), 0 time(s).  

Therefore, put 0 on top:

       0    

 33⟌149

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 33⟌149

     0    Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 33⟌149

     -0    

       1    

Step 5:

Move down the 2nd digit of the dividend (4) like this:

       0    

 33⟌149

     -0    

       14  

Step 6:

The divisor (33) goes into the bottom number (14), 0 time(s). Therefore, put 0 on top:

       00  

 33⟌149

     -0    

       14  

Step 7:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer at the bottom:

       00  

 33⟌149

     -0    

       14  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (14 - 0 = 14) and write the answer at the bottom.

       00  

 33⟌149

     -0    

       14  

     -  0  

       14  

Step 9:

Move down the last digit of the dividend (9) like this:

       00  

 33⟌149

     -0    

       14  

     -  0  

       149

Step 10:

The divisor (33) goes into the bottom number (149), 4 time(s). Therefore put 4 on top:

       004

 33⟌149

     -0    

       14  

     -  0  

       149

Step 11:

Multiply the divisor by the result in the previous step (33 x 4 = 132) and write the answer at the bottom:

       004

 33⟌149

     -0    

       14  

     -  0  

       149

       132

Step 12:

Subtract the result in the previous step from the number written above it. (149 - 132 = 17) and write the answer at the bottom.

       004

 33⟌149

     -0    

       14  

     -  0  

       14 9

     -132

         17

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 149 divided by 33 calculated using Long Division is:

4

17 Remainder