Solve 3170div12

$$3170 \div 12$$

Evaluate

$$\frac{1585}{6}\approx 264.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3170

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)3170}\\\end{array}$$

Since 3 is less than 12, use the next digit 1 from dividend 3170 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)3170}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3170

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)3170}\\\end{array}$$

Find closest multiple of 12 to 31. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 31 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)3170}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}7\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3170

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)3170}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}77\\\end{array}$$

Find closest multiple of 12 to 77. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 77 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}026\phantom{6}\\12\overline{)3170}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}77\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3170

$$\begin{array}{l}\phantom{12)}026\phantom{7}\\12\overline{)3170}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}77\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}50\\\end{array}$$

Find closest multiple of 12 to 50. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0264\phantom{8}\\12\overline{)3170}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}77\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}50\\\phantom{12)}\underline{\phantom{99}48\phantom{}}\\\phantom{12)999}2\\\end{array}$$

Since 2 is less than 12, stop the division. The reminder is 2. The topmost line 0264 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 264.

$$\text{Quotient: }264 \text{Reminder: }2$$

Factor

$$\frac{5 \cdot 317}{2 \cdot 3} = 264\frac{1}{6} = 264.1666666666667$$