Solve 409400div12

$$409400 \div 12$$

Evaluate

$$\frac{102350}{3}\approx 34116.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 409400

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)409400}\\\end{array}$$

Since 4 is less than 12, use the next digit 0 from dividend 409400 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)409400}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 409400

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)409400}\\\end{array}$$

Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}4\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 409400

$$\begin{array}{l}\phantom{12)}03\phantom{5}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\end{array}$$

Find closest multiple of 12 to 49. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 49 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}034\phantom{6}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}1\\\end{array}$$

Use the 4^{th} digit 4 from dividend 409400

$$\begin{array}{l}\phantom{12)}034\phantom{7}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\end{array}$$

Find closest multiple of 12 to 14. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 14 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}0341\phantom{8}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{99}}\\\phantom{12)999}2\\\end{array}$$

Use the 5^{th} digit 0 from dividend 409400

$$\begin{array}{l}\phantom{12)}0341\phantom{9}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{99}}\\\phantom{12)999}20\\\end{array}$$

Find closest multiple of 12 to 20. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 20 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}03411\phantom{10}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{99}}\\\phantom{12)999}20\\\phantom{12)}\underline{\phantom{999}12\phantom{9}}\\\phantom{12)9999}8\\\end{array}$$

Use the 6^{th} digit 0 from dividend 409400

$$\begin{array}{l}\phantom{12)}03411\phantom{11}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{99}}\\\phantom{12)999}20\\\phantom{12)}\underline{\phantom{999}12\phantom{9}}\\\phantom{12)9999}80\\\end{array}$$

Find closest multiple of 12 to 80. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}034116\phantom{12}\\12\overline{)409400}\\\phantom{12)}\underline{\phantom{}36\phantom{9999}}\\\phantom{12)9}49\\\phantom{12)}\underline{\phantom{9}48\phantom{999}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{99}}\\\phantom{12)999}20\\\phantom{12)}\underline{\phantom{999}12\phantom{9}}\\\phantom{12)9999}80\\\phantom{12)}\underline{\phantom{9999}72\phantom{}}\\\phantom{12)99999}8\\\end{array}$$

Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 034116 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34116.

$$\text{Quotient: }34116 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 23 \cdot 89}{3} = 34116\frac{2}{3} = 34116.666666666664$$