Solve 1329928/13

$$\frac { 1329928 } { 13 }$$

Evaluate

$$\frac{1329928}{13}\approx 102302.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1329928

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)1329928}\\\end{array}$$

Since 1 is less than 13, use the next digit 3 from dividend 1329928 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)1329928}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1329928

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)1329928}\\\end{array}$$

Find closest multiple of 13 to 13. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 13 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}0\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1329928

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}2\\\end{array}$$

Since 2 is less than 13, use the next digit 9 from dividend 1329928 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}010\phantom{6}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}2\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1329928

$$\begin{array}{l}\phantom{13)}010\phantom{7}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\end{array}$$

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.

$$\begin{array}{l}\phantom{13)}0102\phantom{8}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}3\\\end{array}$$

Use the 5^{th} digit 9 from dividend 1329928

$$\begin{array}{l}\phantom{13)}0102\phantom{9}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\end{array}$$

Find closest multiple of 13 to 39. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 39 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}01023\phantom{10}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\phantom{13)}\underline{\phantom{999}39\phantom{99}}\\\phantom{13)99999}0\\\end{array}$$

Use the 6^{th} digit 2 from dividend 1329928

$$\begin{array}{l}\phantom{13)}01023\phantom{11}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\phantom{13)}\underline{\phantom{999}39\phantom{99}}\\\phantom{13)99999}2\\\end{array}$$

Since 2 is less than 13, use the next digit 8 from dividend 1329928 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}010230\phantom{12}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\phantom{13)}\underline{\phantom{999}39\phantom{99}}\\\phantom{13)99999}2\\\end{array}$$

Use the 7^{th} digit 8 from dividend 1329928

$$\begin{array}{l}\phantom{13)}010230\phantom{13}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\phantom{13)}\underline{\phantom{999}39\phantom{99}}\\\phantom{13)99999}28\\\end{array}$$

Find closest multiple of 13 to 28. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 28 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}0102302\phantom{14}\\13\overline{)1329928}\\\phantom{13)}\underline{\phantom{}13\phantom{99999}}\\\phantom{13)99}29\\\phantom{13)}\underline{\phantom{99}26\phantom{999}}\\\phantom{13)999}39\\\phantom{13)}\underline{\phantom{999}39\phantom{99}}\\\phantom{13)99999}28\\\phantom{13)}\underline{\phantom{99999}26\phantom{}}\\\phantom{13)999999}2\\\end{array}$$

Since 2 is less than 13, stop the division. The reminder is 2. The topmost line 0102302 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 102302.

$$\text{Quotient: }102302 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {3} \cdot 37 \cdot 4493}{13} = 102302\frac{2}{13} = 102302.15384615384$$