Solve 2014div10

$$2014 \div 10$$

Evaluate

$$\frac{1007}{5}=201.4$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2014

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)2014}\\\end{array}$$

Since 2 is less than 10, use the next digit 0 from dividend 2014 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)2014}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2014

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)2014}\\\end{array}$$

Find closest multiple of 10 to 20. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 20 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{10)}02\phantom{4}\\10\overline{)2014}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)99}0\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2014

$$\begin{array}{l}\phantom{10)}02\phantom{5}\\10\overline{)2014}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)99}1\\\end{array}$$

Since 1 is less than 10, use the next digit 4 from dividend 2014 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}020\phantom{6}\\10\overline{)2014}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)99}1\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2014

$$\begin{array}{l}\phantom{10)}020\phantom{7}\\10\overline{)2014}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)99}14\\\end{array}$$

Find closest multiple of 10 to 14. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 14 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{10)}0201\phantom{8}\\10\overline{)2014}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)99}14\\\phantom{10)}\underline{\phantom{99}10\phantom{}}\\\phantom{10)999}4\\\end{array}$$

Since 4 is less than 10, stop the division. The reminder is 4. The topmost line 0201 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 201.

$$\text{Quotient: }201 \text{Reminder: }4$$

Factor

$$\frac{19 \cdot 53}{5} = 201\frac{2}{5} = 201.4$$