Solve 424:12

$$424 : 12$$

Evaluate

$$\frac{106}{3}\approx 35.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 424

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)424}\\\end{array}$$

Since 4 is less than 12, use the next digit 2 from dividend 424 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)424}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 424

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)424}\\\end{array}$$

Find closest multiple of 12 to 42. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 42 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)424}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}6\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 424

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)424}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}64\\\end{array}$$

Find closest multiple of 12 to 64. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 64 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}035\phantom{6}\\12\overline{)424}\\\phantom{12)}\underline{\phantom{}36\phantom{9}}\\\phantom{12)9}64\\\phantom{12)}\underline{\phantom{9}60\phantom{}}\\\phantom{12)99}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.

$$\text{Quotient: }35 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 53}{3} = 35\frac{1}{3} = 35.333333333333336$$