Solve 186/16

$$\frac { 186 } { 16 }$$

Evaluate

$$\frac{93}{8}=11.625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 186

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)186}\\\end{array}$$

Since 1 is less than 16, use the next digit 8 from dividend 186 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)186}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 186

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)186}\\\end{array}$$

Find closest multiple of 16 to 18. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 18 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)186}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}2\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 186

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)186}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}26\\\end{array}$$

Find closest multiple of 16 to 26. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 26 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}011\phantom{6}\\16\overline{)186}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}26\\\phantom{16)}\underline{\phantom{9}16\phantom{}}\\\phantom{16)9}10\\\end{array}$$

Since 10 is less than 16, stop the division. The reminder is 10. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }10$$

Factor

$$\frac{3 \cdot 31}{2 ^ {3}} = 11\frac{5}{8} = 11.625$$