Solve 2020div12

$$2020 \div 12$$

Evaluate

$$\frac{505}{3}\approx 168.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)2020}\\\end{array}$$

Since 2 is less than 12, use the next digit 0 from dividend 2020 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)2020}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)2020}\\\end{array}$$

Find closest multiple of 12 to 20. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 20 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)2020}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}8\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)2020}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}82\\\end{array}$$

Find closest multiple of 12 to 82. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 82 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}016\phantom{6}\\12\overline{)2020}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}82\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{12)}016\phantom{7}\\12\overline{)2020}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}82\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)9}100\\\end{array}$$

Find closest multiple of 12 to 100. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}0168\phantom{8}\\12\overline{)2020}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}82\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)9}100\\\phantom{12)}\underline{\phantom{99}96\phantom{}}\\\phantom{12)999}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0168 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 168.

$$\text{Quotient: }168 \text{Reminder: }4$$

Factor

$$\frac{5 \cdot 101}{3} = 168\frac{1}{3} = 168.33333333333334$$