Solve 9,269/13

$$\frac { 9,269 } { 13 }$$

Evaluate

$$713$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9269

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)9269}\\\end{array}$$

Since 9 is less than 13, use the next digit 2 from dividend 9269 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)9269}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 9269

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)9269}\\\end{array}$$

Find closest multiple of 13 to 92. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 92 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}07\phantom{4}\\13\overline{)9269}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}1\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 9269

$$\begin{array}{l}\phantom{13)}07\phantom{5}\\13\overline{)9269}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}16\\\end{array}$$

Find closest multiple of 13 to 16. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 16 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}071\phantom{6}\\13\overline{)9269}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}16\\\phantom{13)}\underline{\phantom{9}13\phantom{9}}\\\phantom{13)99}3\\\end{array}$$

Use the 4^{th} digit 9 from dividend 9269

$$\begin{array}{l}\phantom{13)}071\phantom{7}\\13\overline{)9269}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}16\\\phantom{13)}\underline{\phantom{9}13\phantom{9}}\\\phantom{13)99}39\\\end{array}$$

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.

$$\begin{array}{l}\phantom{13)}0713\phantom{8}\\13\overline{)9269}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}16\\\phantom{13)}\underline{\phantom{9}13\phantom{9}}\\\phantom{13)99}39\\\phantom{13)}\underline{\phantom{99}39\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0713 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 713.

$$\text{Quotient: }713 \text{Reminder: }0$$

Factor

$$23\times 31$$