Evaluate
\frac{307}{3}\approx 102.333333333
Factor
\frac{307}{3} = 102\frac{1}{3} = 102.33333333333333
Share
Copied to clipboard
\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1228}\\\end{array}
Use the 1^{st} digit 1 from dividend 1228
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1228}\\\end{array}
Since 1 is less than 12, use the next digit 2 from dividend 1228 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1228}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1228
\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1228}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}0\\\end{array}
Find closest multiple of 12 to 12. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 12 to get reminder 0. Add 1 to quotient.
\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1228}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}2\\\end{array}
Use the 3^{rd} digit 2 from dividend 1228
\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)1228}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}2\\\end{array}
Since 2 is less than 12, use the next digit 8 from dividend 1228 and add 0 to the quotient
\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)1228}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}28\\\end{array}
Use the 4^{th} digit 8 from dividend 1228
\begin{array}{l}\phantom{12)}0102\phantom{8}\\12\overline{)1228}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}28\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)999}4\\\end{array}
Find closest multiple of 12 to 28. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 28 to get reminder 4. Add 2 to quotient.
\text{Quotient: }102 \text{Reminder: }4
Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0102 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 102.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}