Solve 310div14

$$310 \div 14$$

Evaluate

$$\frac{155}{7}\approx 22.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 310

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)310}\\\end{array}$$

Since 3 is less than 14, use the next digit 1 from dividend 310 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)310}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 310

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)310}\\\end{array}$$

Find closest multiple of 14 to 31. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 31 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)310}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}3\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 310

$$\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)310}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}30\\\end{array}$$

Find closest multiple of 14 to 30. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 30 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}022\phantom{6}\\14\overline{)310}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}30\\\phantom{14)}\underline{\phantom{9}28\phantom{}}\\\phantom{14)99}2\\\end{array}$$

Since 2 is less than 14, stop the division. The reminder is 2. The topmost line 022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }2$$

Factor

$$\frac{5 \cdot 31}{7} = 22\frac{1}{7} = 22.142857142857142$$