Solve 35325div12

$$35325 \div 12$$

Evaluate

$$\frac{11775}{4}=2943.75$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 35325

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)35325}\\\end{array}$$

Since 3 is less than 12, use the next digit 5 from dividend 35325 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)35325}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 35325

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)35325}\\\end{array}$$

Find closest multiple of 12 to 35. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 35 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}11\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 35325

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\end{array}$$

Find closest multiple of 12 to 113. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 113 to get reminder 5. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}029\phantom{6}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 2 from dividend 35325

$$\begin{array}{l}\phantom{12)}029\phantom{7}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}52\\\end{array}$$

Find closest multiple of 12 to 52. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 52 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0294\phantom{8}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}4\\\end{array}$$

Use the 5^{th} digit 5 from dividend 35325

$$\begin{array}{l}\phantom{12)}0294\phantom{9}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}45\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}02943\phantom{10}\\12\overline{)35325}\\\phantom{12)}\underline{\phantom{}24\phantom{999}}\\\phantom{12)}113\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}52\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}45\\\phantom{12)}\underline{\phantom{999}36\phantom{}}\\\phantom{12)9999}9\\\end{array}$$

Since 9 is less than 12, stop the division. The reminder is 9. The topmost line 02943 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2943.

$$\text{Quotient: }2943 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 157}{2 ^ {2}} = 2943\frac{3}{4} = 2943.75$$