Solve 4590div12

$$4590 \div 12$$

Evaluate

$$\frac{765}{2}=382.5$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4590

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)4590}\\\end{array}$$

Since 4 is less than 12, use the next digit 5 from dividend 4590 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)4590}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4590

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)4590}\\\end{array}$$

Find closest multiple of 12 to 45. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 45 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)4590}\\\phantom{12)}\underline{\phantom{}36\phantom{99}}\\\phantom{12)9}9\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 4590

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)4590}\\\phantom{12)}\underline{\phantom{}36\phantom{99}}\\\phantom{12)9}99\\\end{array}$$

Find closest multiple of 12 to 99. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 99 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}038\phantom{6}\\12\overline{)4590}\\\phantom{12)}\underline{\phantom{}36\phantom{99}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}3\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4590

$$\begin{array}{l}\phantom{12)}038\phantom{7}\\12\overline{)4590}\\\phantom{12)}\underline{\phantom{}36\phantom{99}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}30\\\end{array}$$

Find closest multiple of 12 to 30. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}0382\phantom{8}\\12\overline{)4590}\\\phantom{12)}\underline{\phantom{}36\phantom{99}}\\\phantom{12)9}99\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)999}6\\\end{array}$$

Since 6 is less than 12, stop the division. The reminder is 6. The topmost line 0382 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 382.

$$\text{Quotient: }382 \text{Reminder: }6$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 17}{2} = 382\frac{1}{2} = 382.5$$