Solve 10199div12

$$10199 \div 12$$

Evaluate

$$\frac{10199}{12}\approx 849.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10199

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)10199}\\\end{array}$$

Since 1 is less than 12, use the next digit 0 from dividend 10199 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)10199}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10199

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)10199}\\\end{array}$$

Since 10 is less than 12, use the next digit 1 from dividend 10199 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)10199}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 10199

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)10199}\\\end{array}$$

Find closest multiple of 12 to 101. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 101 to get reminder 5. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)10199}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 9 from dividend 10199

$$\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)10199}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}59\\\end{array}$$

Find closest multiple of 12 to 59. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0084\phantom{8}\\12\overline{)10199}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}59\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)99}11\\\end{array}$$

Use the 5^{th} digit 9 from dividend 10199

$$\begin{array}{l}\phantom{12)}0084\phantom{9}\\12\overline{)10199}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}59\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)99}119\\\end{array}$$

Find closest multiple of 12 to 119. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 119 to get reminder 11. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}00849\phantom{10}\\12\overline{)10199}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}59\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)99}119\\\phantom{12)}\underline{\phantom{99}108\phantom{}}\\\phantom{12)999}11\\\end{array}$$

Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 00849 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 849.

$$\text{Quotient: }849 \text{Reminder: }11$$

Factor

$$\frac{7 \cdot 31 \cdot 47}{2 ^ {2} \cdot 3} = 849\frac{11}{12} = 849.9166666666666$$