Solve 3367div13

$$3367 \div 13$$

Evaluate

$$259$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3367

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)3367}\\\end{array}$$

Since 3 is less than 13, use the next digit 3 from dividend 3367 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)3367}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3367

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)3367}\\\end{array}$$

Find closest multiple of 13 to 33. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 33 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)3367}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}7\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3367

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)3367}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}76\\\end{array}$$

Find closest multiple of 13 to 76. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 76 to get reminder 11. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}025\phantom{6}\\13\overline{)3367}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}76\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)9}11\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3367

$$\begin{array}{l}\phantom{13)}025\phantom{7}\\13\overline{)3367}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}76\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)9}117\\\end{array}$$

Find closest multiple of 13 to 117. We see that 9 \times 13 = 117 is the nearest. Now subtract 117 from 117 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{13)}0259\phantom{8}\\13\overline{)3367}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}76\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)9}117\\\phantom{13)}\underline{\phantom{9}117\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 259.

$$\text{Quotient: }259 \text{Reminder: }0$$

Factor

$$7\times 37$$