Solve 8216/13

$$\frac { 8216 } { 13 }$$

Evaluate

$$632$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8216

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)8216}\\\end{array}$$

Since 8 is less than 13, use the next digit 2 from dividend 8216 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)8216}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 8216

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)8216}\\\end{array}$$

Find closest multiple of 13 to 82. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 82 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}06\phantom{4}\\13\overline{)8216}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}4\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 8216

$$\begin{array}{l}\phantom{13)}06\phantom{5}\\13\overline{)8216}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}41\\\end{array}$$

Find closest multiple of 13 to 41. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 41 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}063\phantom{6}\\13\overline{)8216}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}41\\\phantom{13)}\underline{\phantom{9}39\phantom{9}}\\\phantom{13)99}2\\\end{array}$$

Use the 4^{th} digit 6 from dividend 8216

$$\begin{array}{l}\phantom{13)}063\phantom{7}\\13\overline{)8216}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}41\\\phantom{13)}\underline{\phantom{9}39\phantom{9}}\\\phantom{13)99}26\\\end{array}$$

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.

$$\begin{array}{l}\phantom{13)}0632\phantom{8}\\13\overline{)8216}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}41\\\phantom{13)}\underline{\phantom{9}39\phantom{9}}\\\phantom{13)99}26\\\phantom{13)}\underline{\phantom{99}26\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0632 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 632.

$$\text{Quotient: }632 \text{Reminder: }0$$

Factor

$$2^{3}\times 79$$