Divide 123 by 13 with remainder

9  Remainder 6

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 13 on the left side and the dividend 123 on the right side like this:

 13⟌123

Step 2:

The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 13⟌123

Step 3:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.

       0    

 13⟌123

     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    

 13⟌123

     -0    

       1    

Step 5:

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

       0    

 13⟌123

     -0    

       12  

Step 6:

The divisor (13) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:

       00  

 13⟌123

     -0    

       12  

Step 7:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer at the bottom:

       00  

 13⟌123

     -0    

       12  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.

       00  

 13⟌123

     -0    

       12  

     -  0  

       12  

Step 9:

Move down the last digit of the dividend (3) like this:

       00  

 13⟌123

     -0    

       12  

     -  0  

       123

Step 10:

The divisor (13) goes into the bottom number (123), 9 time(s). Therefore put 9 on top:

       009

 13⟌123

     -0    

       12  

     -  0  

       123

Step 11:

Multiply the divisor by the result in the previous step (13 x 9 = 117) and write the answer at the bottom:

       009

 13⟌123

     -0    

       12  

     -  0  

       123

       117

Step 12:

Subtract the result in the previous step from the number written above it. (123 - 117 = 6) and write the answer at the bottom.

       009

 13⟌123

     -0    

       12  

     -  0  

       123

     -117

           6

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 123 divided by 13 calculated using Long Division is:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.