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641
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641
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\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)28845}\\\end{array}
Use the 1^{st} digit 2 from dividend 28845
\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)28845}\\\end{array}
Since 2 is less than 45, use the next digit 8 from dividend 28845 and add 0 to the quotient
\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)28845}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28845
\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)28845}\\\end{array}
Since 28 is less than 45, use the next digit 8 from dividend 28845 and add 0 to the quotient
\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)28845}\\\end{array}
Use the 3^{rd} digit 8 from dividend 28845
\begin{array}{l}\phantom{45)}006\phantom{6}\\45\overline{)28845}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}18\\\end{array}
Find closest multiple of 45 to 288. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 288 to get reminder 18. Add 6 to quotient.
\begin{array}{l}\phantom{45)}006\phantom{7}\\45\overline{)28845}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}184\\\end{array}
Use the 4^{th} digit 4 from dividend 28845
\begin{array}{l}\phantom{45)}0064\phantom{8}\\45\overline{)28845}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}184\\\phantom{45)}\underline{\phantom{9}180\phantom{9}}\\\phantom{45)999}4\\\end{array}
Find closest multiple of 45 to 184. We see that 4 \times 45 = 180 is the nearest. Now subtract 180 from 184 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{45)}0064\phantom{9}\\45\overline{)28845}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}184\\\phantom{45)}\underline{\phantom{9}180\phantom{9}}\\\phantom{45)999}45\\\end{array}
Use the 5^{th} digit 5 from dividend 28845
\begin{array}{l}\phantom{45)}00641\phantom{10}\\45\overline{)28845}\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}184\\\phantom{45)}\underline{\phantom{9}180\phantom{9}}\\\phantom{45)999}45\\\phantom{45)}\underline{\phantom{999}45\phantom{}}\\\phantom{45)99999}0\\\end{array}
Find closest multiple of 45 to 45. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 45 to get reminder 0. Add 1 to quotient.
\text{Quotient: }641 \text{Reminder: }0
Since 0 is less than 45, 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}