Solve 43/16

$$\frac { 43 } { 16 }$$

Evaluate

$$\frac{43}{16}=2.6875$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 43

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)43}\\\end{array}$$

Since 4 is less than 16, use the next digit 3 from dividend 43 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)43}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 43

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)43}\\\end{array}$$

Find closest multiple of 16 to 43. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 43 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)43}\\\phantom{16)}\underline{\phantom{}32\phantom{}}\\\phantom{16)}11\\\end{array}$$

Since 11 is less than 16, stop the division. The reminder is 11. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }11$$

Factor

$$\frac{43}{2 ^ {4}} = 2\frac{11}{16} = 2.6875$$