Solve 8769div13

$$8769 \div 13$$

Evaluate

$$\frac{8769}{13}\approx 674.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8769

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)8769}\\\end{array}$$

Since 8 is less than 13, use the next digit 7 from dividend 8769 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)8769}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 8769

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)8769}\\\end{array}$$

Find closest multiple of 13 to 87. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 87 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}06\phantom{4}\\13\overline{)8769}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}9\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 8769

$$\begin{array}{l}\phantom{13)}06\phantom{5}\\13\overline{)8769}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}96\\\end{array}$$

Find closest multiple of 13 to 96. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 96 to get reminder 5. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}067\phantom{6}\\13\overline{)8769}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}96\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}5\\\end{array}$$

Use the 4^{th} digit 9 from dividend 8769

$$\begin{array}{l}\phantom{13)}067\phantom{7}\\13\overline{)8769}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}96\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}59\\\end{array}$$

Find closest multiple of 13 to 59. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 59 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{13)}0674\phantom{8}\\13\overline{)8769}\\\phantom{13)}\underline{\phantom{}78\phantom{99}}\\\phantom{13)9}96\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}59\\\phantom{13)}\underline{\phantom{99}52\phantom{}}\\\phantom{13)999}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 0674 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 674.

$$\text{Quotient: }674 \text{Reminder: }7$$

Factor

$$\frac{3 \cdot 37 \cdot 79}{13} = 674\frac{7}{13} = 674.5384615384615$$