Evaluate
\frac{6151}{70}\approx 87.871428571
Factor
\frac{6151}{2 \cdot 5 \cdot 7} = 87\frac{61}{70} = 87.87142857142857
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\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)61510}\\\end{array}
Use the 1^{st} digit 6 from dividend 61510
\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)61510}\\\end{array}
Since 6 is less than 700, use the next digit 1 from dividend 61510 and add 0 to the quotient
\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)61510}\\\end{array}
Use the 2^{nd} digit 1 from dividend 61510
\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)61510}\\\end{array}
Since 61 is less than 700, use the next digit 5 from dividend 61510 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)61510}\\\end{array}
Use the 3^{rd} digit 5 from dividend 61510
\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)61510}\\\end{array}
Since 615 is less than 700, use the next digit 1 from dividend 61510 and add 0 to the quotient
\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)61510}\\\end{array}
Use the 4^{th} digit 1 from dividend 61510
\begin{array}{l}\phantom{700)}0008\phantom{8}\\700\overline{)61510}\\\phantom{700)}\underline{\phantom{}5600\phantom{9}}\\\phantom{700)9}551\\\end{array}
Find closest multiple of 700 to 6151. We see that 8 \times 700 = 5600 is the nearest. Now subtract 5600 from 6151 to get reminder 551. Add 8 to quotient.
\begin{array}{l}\phantom{700)}0008\phantom{9}\\700\overline{)61510}\\\phantom{700)}\underline{\phantom{}5600\phantom{9}}\\\phantom{700)9}5510\\\end{array}
Use the 5^{th} digit 0 from dividend 61510
\begin{array}{l}\phantom{700)}00087\phantom{10}\\700\overline{)61510}\\\phantom{700)}\underline{\phantom{}5600\phantom{9}}\\\phantom{700)9}5510\\\phantom{700)}\underline{\phantom{9}4900\phantom{}}\\\phantom{700)99}610\\\end{array}
Find closest multiple of 700 to 5510. We see that 7 \times 700 = 4900 is the nearest. Now subtract 4900 from 5510 to get reminder 610. Add 7 to quotient.
\text{Quotient: }87 \text{Reminder: }610
Since 610 is less than 700, stop the division. The reminder is 610. The topmost line 00087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.
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}