Solve 186/32

$$\frac { 186 } { 32 }$$

Evaluate

$$\frac{93}{16}=5.8125$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)186}\\\end{array}$$

Since 1 is less than 32, use the next digit 8 from dividend 186 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)186}\\\end{array}$$

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

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)186}\\\end{array}$$

Since 18 is less than 32, use the next digit 6 from dividend 186 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)186}\\\end{array}$$

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

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)186}\\\end{array}$$

Find closest multiple of 32 to 186. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 186 to get reminder 26. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}005\phantom{6}\\32\overline{)186}\\\phantom{32)}\underline{\phantom{}160\phantom{}}\\\phantom{32)9}26\\\end{array}$$

Since 26 is less than 32, stop the division. The reminder is 26. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }26$$

Factor

$$\frac{3 \cdot 31}{2 ^ {4}} = 5\frac{13}{16} = 5.8125$$