Solve 7306/13

$$\frac { 7306 } { 13 }$$

Evaluate

$$562$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7306

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)7306}\\\end{array}$$

Since 7 is less than 13, use the next digit 3 from dividend 7306 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)7306}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 7306

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)7306}\\\end{array}$$

Find closest multiple of 13 to 73. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 73 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)7306}\\\phantom{13)}\underline{\phantom{}65\phantom{99}}\\\phantom{13)9}8\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7306

$$\begin{array}{l}\phantom{13)}05\phantom{5}\\13\overline{)7306}\\\phantom{13)}\underline{\phantom{}65\phantom{99}}\\\phantom{13)9}80\\\end{array}$$

Find closest multiple of 13 to 80. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 80 to get reminder 2. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}056\phantom{6}\\13\overline{)7306}\\\phantom{13)}\underline{\phantom{}65\phantom{99}}\\\phantom{13)9}80\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)99}2\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7306

$$\begin{array}{l}\phantom{13)}056\phantom{7}\\13\overline{)7306}\\\phantom{13)}\underline{\phantom{}65\phantom{99}}\\\phantom{13)9}80\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)99}26\\\end{array}$$

Find closest multiple of 13 to 26. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 26 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}0562\phantom{8}\\13\overline{)7306}\\\phantom{13)}\underline{\phantom{}65\phantom{99}}\\\phantom{13)9}80\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)99}26\\\phantom{13)}\underline{\phantom{99}26\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0562 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 562.

$$\text{Quotient: }562 \text{Reminder: }0$$

Factor

$$2\times 281$$