Solve 20172017div2017

$$20172017 \div 2017$$

Evaluate

$$10001$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}\phantom{1}\\2017\overline{)20172017}\\\end{array}$$

Since 2 is less than 2017, use the next digit 0 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}0\phantom{2}\\2017\overline{)20172017}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}0\phantom{3}\\2017\overline{)20172017}\\\end{array}$$

Since 20 is less than 2017, use the next digit 1 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}00\phantom{4}\\2017\overline{)20172017}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}00\phantom{5}\\2017\overline{)20172017}\\\end{array}$$

Since 201 is less than 2017, use the next digit 7 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}000\phantom{6}\\2017\overline{)20172017}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}000\phantom{7}\\2017\overline{)20172017}\\\end{array}$$

Find closest multiple of 2017 to 2017. We see that 1 \times 2017 = 2017 is the nearest. Now subtract 2017 from 2017 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{2017)}0001\phantom{8}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}0\\\end{array}$$

Use the 5^{th} digit 2 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}0001\phantom{9}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}2\\\end{array}$$

Since 2 is less than 2017, use the next digit 0 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}00010\phantom{10}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}2\\\end{array}$$

Use the 6^{th} digit 0 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}00010\phantom{11}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}20\\\end{array}$$

Since 20 is less than 2017, use the next digit 1 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}000100\phantom{12}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}20\\\end{array}$$

Use the 7^{th} digit 1 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}000100\phantom{13}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}201\\\end{array}$$

Since 201 is less than 2017, use the next digit 7 from dividend 20172017 and add 0 to the quotient

$$\begin{array}{l}\phantom{2017)}0001000\phantom{14}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}201\\\end{array}$$

Use the 8^{th} digit 7 from dividend 20172017

$$\begin{array}{l}\phantom{2017)}0001000\phantom{15}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}2017\\\end{array}$$

Find closest multiple of 2017 to 2017. We see that 1 \times 2017 = 2017 is the nearest. Now subtract 2017 from 2017 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{2017)}00010001\phantom{16}\\2017\overline{)20172017}\\\phantom{2017)}\underline{\phantom{}2017\phantom{9999}}\\\phantom{2017)9999}2017\\\phantom{2017)}\underline{\phantom{9999}2017\phantom{}}\\\phantom{2017)99999999}0\\\end{array}$$

Since 0 is less than 2017, stop the division. The reminder is 0. The topmost line 00010001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 10001.

$$\text{Quotient: }10001 \text{Reminder: }0$$

Factor

$$73\times 137$$