Solve 405:12

$$405 : 12$$

Evaluate

$$\frac{135}{4}=33.75$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 405

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)405}\\\end{array}$$

Since 4 is less than 12, use the next digit 0 from dividend 405 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)405}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 405

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)405}\\\end{array}$$

Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)405}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}4\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 405

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)405}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}45\\\end{array}$$

Find closest multiple of 12 to 45. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 45 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}033\phantom{6}\\12\overline{)405}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}45\\\phantom{12)}\underline{\phantom{9}36\phantom{}}\\\phantom{12)99}9\\\end{array}$$

Since 9 is less than 12, stop the division. The reminder is 9. The topmost line 033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }9$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 ^ {2}} = 33\frac{3}{4} = 33.75$$