Solve 3614/13

$$\frac { 3614 } { 13 }$$

Evaluate

$$278$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3614

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)3614}\\\end{array}$$

Since 3 is less than 13, use the next digit 6 from dividend 3614 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)3614}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3614

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)3614}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)3614}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)}10\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 3614

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)3614}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)}101\\\end{array}$$

Find closest multiple of 13 to 101. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 101 to get reminder 10. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}027\phantom{6}\\13\overline{)3614}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)}101\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)9}10\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3614

$$\begin{array}{l}\phantom{13)}027\phantom{7}\\13\overline{)3614}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)}101\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)9}104\\\end{array}$$

Find closest multiple of 13 to 104. We see that 8 \times 13 = 104 is the nearest. Now subtract 104 from 104 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{13)}0278\phantom{8}\\13\overline{)3614}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)}101\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)9}104\\\phantom{13)}\underline{\phantom{9}104\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0278 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 278.

$$\text{Quotient: }278 \text{Reminder: }0$$

Factor

$$2\times 139$$