Evaluate
\frac{1607}{25}=64.28
Factor
\frac{1607}{5 ^ {2}} = 64\frac{7}{25} = 64.28
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)6428}\\\end{array}
Use the 1^{st} digit 6 from dividend 6428
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)6428}\\\end{array}
Since 6 is less than 100, use the next digit 4 from dividend 6428 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)6428}\\\end{array}
Use the 2^{nd} digit 4 from dividend 6428
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)6428}\\\end{array}
Since 64 is less than 100, use the next digit 2 from dividend 6428 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)6428}\\\end{array}
Use the 3^{rd} digit 2 from dividend 6428
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)6428}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}42\\\end{array}
Find closest multiple of 100 to 642. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 642 to get reminder 42. Add 6 to quotient.
\begin{array}{l}\phantom{100)}006\phantom{7}\\100\overline{)6428}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}428\\\end{array}
Use the 4^{th} digit 8 from dividend 6428
\begin{array}{l}\phantom{100)}0064\phantom{8}\\100\overline{)6428}\\\phantom{100)}\underline{\phantom{}600\phantom{9}}\\\phantom{100)9}428\\\phantom{100)}\underline{\phantom{9}400\phantom{}}\\\phantom{100)99}28\\\end{array}
Find closest multiple of 100 to 428. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 428 to get reminder 28. Add 4 to quotient.
\text{Quotient: }64 \text{Reminder: }28
Since 28 is less than 100, stop the division. The reminder is 28. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.
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}