Solve 29637696/13

$$\frac { 29637696 } { 13 }$$

Evaluate

$$\frac{29637696}{13}\approx 2279822.769230769$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 29637696

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)29637696}\\\end{array}$$

Since 2 is less than 13, use the next digit 9 from dividend 29637696 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)29637696}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 29637696

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)29637696}\\\end{array}$$

Find closest multiple of 13 to 29. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 29 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}3\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 29637696

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\end{array}$$

Find closest multiple of 13 to 36. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 36 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}022\phantom{6}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}10\\\end{array}$$

Use the 4^{th} digit 3 from dividend 29637696

$$\begin{array}{l}\phantom{13)}022\phantom{7}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\end{array}$$

Find closest multiple of 13 to 103. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 103 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}0227\phantom{8}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}12\\\end{array}$$

Use the 5^{th} digit 7 from dividend 29637696

$$\begin{array}{l}\phantom{13)}0227\phantom{9}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\end{array}$$

Find closest multiple of 13 to 127. We see that 9 \times 13 = 117 is the nearest. Now subtract 117 from 127 to get reminder 10. Add 9 to quotient.

$$\begin{array}{l}\phantom{13)}02279\phantom{10}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}10\\\end{array}$$

Use the 6^{th} digit 6 from dividend 29637696

$$\begin{array}{l}\phantom{13)}02279\phantom{11}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\end{array}$$

Find closest multiple of 13 to 106. We see that 8 \times 13 = 104 is the nearest. Now subtract 104 from 106 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{13)}022798\phantom{12}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\phantom{13)}\underline{\phantom{999}104\phantom{99}}\\\phantom{13)99999}2\\\end{array}$$

Use the 7^{th} digit 9 from dividend 29637696

$$\begin{array}{l}\phantom{13)}022798\phantom{13}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\phantom{13)}\underline{\phantom{999}104\phantom{99}}\\\phantom{13)99999}29\\\end{array}$$

Find closest multiple of 13 to 29. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 29 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}0227982\phantom{14}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\phantom{13)}\underline{\phantom{999}104\phantom{99}}\\\phantom{13)99999}29\\\phantom{13)}\underline{\phantom{99999}26\phantom{9}}\\\phantom{13)999999}3\\\end{array}$$

Use the 8^{th} digit 6 from dividend 29637696

$$\begin{array}{l}\phantom{13)}0227982\phantom{15}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\phantom{13)}\underline{\phantom{999}104\phantom{99}}\\\phantom{13)99999}29\\\phantom{13)}\underline{\phantom{99999}26\phantom{9}}\\\phantom{13)999999}36\\\end{array}$$

Find closest multiple of 13 to 36. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 36 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02279822\phantom{16}\\13\overline{)29637696}\\\phantom{13)}\underline{\phantom{}26\phantom{999999}}\\\phantom{13)9}36\\\phantom{13)}\underline{\phantom{9}26\phantom{99999}}\\\phantom{13)9}103\\\phantom{13)}\underline{\phantom{99}91\phantom{9999}}\\\phantom{13)99}127\\\phantom{13)}\underline{\phantom{99}117\phantom{999}}\\\phantom{13)999}106\\\phantom{13)}\underline{\phantom{999}104\phantom{99}}\\\phantom{13)99999}29\\\phantom{13)}\underline{\phantom{99999}26\phantom{9}}\\\phantom{13)999999}36\\\phantom{13)}\underline{\phantom{999999}26\phantom{}}\\\phantom{13)999999}10\\\end{array}$$

Since 10 is less than 13, stop the division. The reminder is 10. The topmost line 02279822 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2279822.

$$\text{Quotient: }2279822 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {6} \cdot 3 \cdot 11 \cdot 14033}{13} = 2279822\frac{10}{13} = 2279822.769230769$$