Solve 752/10

$$\frac { 752 } { 10 }$$

Evaluate

$$\frac{376}{5}=75.2$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 752

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)752}\\\end{array}$$

Since 7 is less than 10, use the next digit 5 from dividend 752 and add 0 to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)752}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 752

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)752}\\\end{array}$$

Find closest multiple of 10 to 75. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 75 to get reminder 5. Add 7 to quotient.

$$\begin{array}{l}\phantom{10)}07\phantom{4}\\10\overline{)752}\\\phantom{10)}\underline{\phantom{}70\phantom{9}}\\\phantom{10)9}5\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 752

$$\begin{array}{l}\phantom{10)}07\phantom{5}\\10\overline{)752}\\\phantom{10)}\underline{\phantom{}70\phantom{9}}\\\phantom{10)9}52\\\end{array}$$

Find closest multiple of 10 to 52. We see that 5 \times 10 = 50 is the nearest. Now subtract 50 from 52 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{10)}075\phantom{6}\\10\overline{)752}\\\phantom{10)}\underline{\phantom{}70\phantom{9}}\\\phantom{10)9}52\\\phantom{10)}\underline{\phantom{9}50\phantom{}}\\\phantom{10)99}2\\\end{array}$$

Since 2 is less than 10, stop the division. The reminder is 2. The topmost line 075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {3} \cdot 47}{5} = 75\frac{1}{5} = 75.2$$