Solve 46div16

$$46 \div 16$$

Evaluate

$$\frac{23}{8}=2.875$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 46

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)46}\\\end{array}$$

Since 4 is less than 16, use the next digit 6 from dividend 46 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)46}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 46

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)46}\\\end{array}$$

Find closest multiple of 16 to 46. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 46 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)46}\\\phantom{16)}\underline{\phantom{}32\phantom{}}\\\phantom{16)}14\\\end{array}$$

Since 14 is less than 16, stop the division. The reminder is 14. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }14$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$