Solve 8387div12

$$8387 \div 12$$

Evaluate

$$\frac{8387}{12}\approx 698.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8387

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)8387}\\\end{array}$$

Since 8 is less than 12, use the next digit 3 from dividend 8387 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)8387}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 8387

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)8387}\\\end{array}$$

Find closest multiple of 12 to 83. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 83 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)8387}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)}11\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 8387

$$\begin{array}{l}\phantom{12)}06\phantom{5}\\12\overline{)8387}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)}118\\\end{array}$$

Find closest multiple of 12 to 118. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 118 to get reminder 10. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}069\phantom{6}\\12\overline{)8387}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)}118\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)9}10\\\end{array}$$

Use the 4^{th} digit 7 from dividend 8387

$$\begin{array}{l}\phantom{12)}069\phantom{7}\\12\overline{)8387}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)}118\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)9}107\\\end{array}$$

Find closest multiple of 12 to 107. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 107 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}0698\phantom{8}\\12\overline{)8387}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)}118\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)9}107\\\phantom{12)}\underline{\phantom{99}96\phantom{}}\\\phantom{12)99}11\\\end{array}$$

Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 0698 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 698.

$$\text{Quotient: }698 \text{Reminder: }11$$

Factor

$$\frac{8387}{2 ^ {2} \cdot 3} = 698\frac{11}{12} = 698.9166666666666$$