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641
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641
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\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)24358}\\\end{array}
Use the 1^{st} digit 2 from dividend 24358
\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)24358}\\\end{array}
Since 2 is less than 38, use the next digit 4 from dividend 24358 and add 0 to the quotient
\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)24358}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24358
\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)24358}\\\end{array}
Since 24 is less than 38, use the next digit 3 from dividend 24358 and add 0 to the quotient
\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)24358}\\\end{array}
Use the 3^{rd} digit 3 from dividend 24358
\begin{array}{l}\phantom{38)}006\phantom{6}\\38\overline{)24358}\\\phantom{38)}\underline{\phantom{}228\phantom{99}}\\\phantom{38)9}15\\\end{array}
Find closest multiple of 38 to 243. We see that 6 \times 38 = 228 is the nearest. Now subtract 228 from 243 to get reminder 15. Add 6 to quotient.
\begin{array}{l}\phantom{38)}006\phantom{7}\\38\overline{)24358}\\\phantom{38)}\underline{\phantom{}228\phantom{99}}\\\phantom{38)9}155\\\end{array}
Use the 4^{th} digit 5 from dividend 24358
\begin{array}{l}\phantom{38)}0064\phantom{8}\\38\overline{)24358}\\\phantom{38)}\underline{\phantom{}228\phantom{99}}\\\phantom{38)9}155\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)999}3\\\end{array}
Find closest multiple of 38 to 155. We see that 4 \times 38 = 152 is the nearest. Now subtract 152 from 155 to get reminder 3. Add 4 to quotient.
\begin{array}{l}\phantom{38)}0064\phantom{9}\\38\overline{)24358}\\\phantom{38)}\underline{\phantom{}228\phantom{99}}\\\phantom{38)9}155\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)999}38\\\end{array}
Use the 5^{th} digit 8 from dividend 24358
\begin{array}{l}\phantom{38)}00641\phantom{10}\\38\overline{)24358}\\\phantom{38)}\underline{\phantom{}228\phantom{99}}\\\phantom{38)9}155\\\phantom{38)}\underline{\phantom{9}152\phantom{9}}\\\phantom{38)999}38\\\phantom{38)}\underline{\phantom{999}38\phantom{}}\\\phantom{38)99999}0\\\end{array}
Find closest multiple of 38 to 38. We see that 1 \times 38 = 38 is the nearest. Now subtract 38 from 38 to get reminder 0. Add 1 to quotient.
\text{Quotient: }641 \text{Reminder: }0
Since 0 is less than 38, stop the division. The reminder is 0. The topmost line 00641 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 641.
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}