Solve 340div14

$$340 \div 14$$

Evaluate

$$\frac{170}{7}\approx 24.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 340

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)340}\\\end{array}$$

Since 3 is less than 14, use the next digit 4 from dividend 340 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)340}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 340

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)340}\\\end{array}$$

Find closest multiple of 14 to 34. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 34 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)340}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 340

$$\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)340}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}60\\\end{array}$$

Find closest multiple of 14 to 60. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 60 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}024\phantom{6}\\14\overline{)340}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)9}60\\\phantom{14)}\underline{\phantom{9}56\phantom{}}\\\phantom{14)99}4\\\end{array}$$

Since 4 is less than 14, stop the division. The reminder is 4. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 5 \cdot 17}{7} = 24\frac{2}{7} = 24.285714285714285$$