Evaluate
\frac{2238}{35}\approx 63.942857143
Factor
\frac{2 \cdot 3 \cdot 373}{5 \cdot 7} = 63\frac{33}{35} = 63.94285714285714
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)4476}\\\end{array}
Use the 1^{st} digit 4 from dividend 4476
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)4476}\\\end{array}
Since 4 is less than 70, use the next digit 4 from dividend 4476 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)4476}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4476
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)4476}\\\end{array}
Since 44 is less than 70, use the next digit 7 from dividend 4476 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)4476}\\\end{array}
Use the 3^{rd} digit 7 from dividend 4476
\begin{array}{l}\phantom{70)}006\phantom{6}\\70\overline{)4476}\\\phantom{70)}\underline{\phantom{}420\phantom{9}}\\\phantom{70)9}27\\\end{array}
Find closest multiple of 70 to 447. We see that 6 \times 70 = 420 is the nearest. Now subtract 420 from 447 to get reminder 27. Add 6 to quotient.
\begin{array}{l}\phantom{70)}006\phantom{7}\\70\overline{)4476}\\\phantom{70)}\underline{\phantom{}420\phantom{9}}\\\phantom{70)9}276\\\end{array}
Use the 4^{th} digit 6 from dividend 4476
\begin{array}{l}\phantom{70)}0063\phantom{8}\\70\overline{)4476}\\\phantom{70)}\underline{\phantom{}420\phantom{9}}\\\phantom{70)9}276\\\phantom{70)}\underline{\phantom{9}210\phantom{}}\\\phantom{70)99}66\\\end{array}
Find closest multiple of 70 to 276. We see that 3 \times 70 = 210 is the nearest. Now subtract 210 from 276 to get reminder 66. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }66
Since 66 is less than 70, stop the division. The reminder is 66. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.
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}