Solve 3470:12

$$3470 : 12$$

Evaluate

$$\frac{1735}{6}\approx 289.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3470

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)3470}\\\end{array}$$

Since 3 is less than 12, use the next digit 4 from dividend 3470 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)3470}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3470

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)3470}\\\end{array}$$

Find closest multiple of 12 to 34. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 34 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)3470}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3470

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)3470}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}107\\\end{array}$$

Find closest multiple of 12 to 107. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 107 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}028\phantom{6}\\12\overline{)3470}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}107\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)9}11\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3470

$$\begin{array}{l}\phantom{12)}028\phantom{7}\\12\overline{)3470}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}107\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)9}110\\\end{array}$$

Find closest multiple of 12 to 110. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 110 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}0289\phantom{8}\\12\overline{)3470}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}107\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)9}110\\\phantom{12)}\underline{\phantom{9}108\phantom{}}\\\phantom{12)999}2\\\end{array}$$

Since 2 is less than 12, stop the division. The reminder is 2. The topmost line 0289 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 289.

$$\text{Quotient: }289 \text{Reminder: }2$$

Factor

$$\frac{5 \cdot 347}{2 \cdot 3} = 289\frac{1}{6} = 289.1666666666667$$