Evaluate
\frac{6130}{3}\approx 2043.333333333
Factor
\frac{2 \cdot 5 \cdot 613}{3} = 2043\frac{1}{3} = 2043.3333333333333
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)24520}\\\end{array}
Use the 1^{st} digit 2 from dividend 24520
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)24520}\\\end{array}
Since 2 is less than 12, use the next digit 4 from dividend 24520 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)24520}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24520
\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}0\\\end{array}
Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}5\\\end{array}
Use the 3^{rd} digit 5 from dividend 24520
\begin{array}{l}\phantom{12)}020\phantom{6}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}5\\\end{array}
Since 5 is less than 12, use the next digit 2 from dividend 24520 and add 0 to the quotient
\begin{array}{l}\phantom{12)}020\phantom{7}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}52\\\end{array}
Use the 4^{th} digit 2 from dividend 24520
\begin{array}{l}\phantom{12)}0204\phantom{8}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}4\\\end{array}
Find closest multiple of 12 to 52. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{12)}0204\phantom{9}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}40\\\end{array}
Use the 5^{th} digit 0 from dividend 24520
\begin{array}{l}\phantom{12)}02043\phantom{10}\\12\overline{)24520}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}40\\\phantom{12)}\underline{\phantom{999}36\phantom{}}\\\phantom{12)9999}4\\\end{array}
Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.
\text{Quotient: }2043 \text{Reminder: }4
Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 02043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2043.
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}