Solve 876:75

$$876 : 75$$

Evaluate

$$\frac{292}{25}=11.68$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 876

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)876}\\\end{array}$$

Since 8 is less than 75, use the next digit 7 from dividend 876 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)876}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 876

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)876}\\\end{array}$$

Find closest multiple of 75 to 87. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 87 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}01\phantom{4}\\75\overline{)876}\\\phantom{75)}\underline{\phantom{}75\phantom{9}}\\\phantom{75)}12\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 876

$$\begin{array}{l}\phantom{75)}01\phantom{5}\\75\overline{)876}\\\phantom{75)}\underline{\phantom{}75\phantom{9}}\\\phantom{75)}126\\\end{array}$$

Find closest multiple of 75 to 126. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 126 to get reminder 51. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}011\phantom{6}\\75\overline{)876}\\\phantom{75)}\underline{\phantom{}75\phantom{9}}\\\phantom{75)}126\\\phantom{75)}\underline{\phantom{9}75\phantom{}}\\\phantom{75)9}51\\\end{array}$$

Since 51 is less than 75, stop the division. The reminder is 51. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }51$$

Factor

$$\frac{2 ^ {2} \cdot 73}{5 ^ {2}} = 11\frac{17}{25} = 11.68$$