Solve 1310div30

$$1310 \div 30$$

Evaluate

$$\frac{131}{3}\approx 43.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1310

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1310}\\\end{array}$$

Since 1 is less than 30, use the next digit 3 from dividend 1310 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1310}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1310

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1310}\\\end{array}$$

Since 13 is less than 30, use the next digit 1 from dividend 1310 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1310}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1310

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1310}\\\end{array}$$

Find closest multiple of 30 to 131. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 131 to get reminder 11. Add 4 to quotient.

$$\begin{array}{l}\phantom{30)}004\phantom{6}\\30\overline{)1310}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}11\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1310

$$\begin{array}{l}\phantom{30)}004\phantom{7}\\30\overline{)1310}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}110\\\end{array}$$

Find closest multiple of 30 to 110. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 110 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}0043\phantom{8}\\30\overline{)1310}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}110\\\phantom{30)}\underline{\phantom{99}90\phantom{}}\\\phantom{30)99}20\\\end{array}$$

Since 20 is less than 30, stop the division. The reminder is 20. The topmost line 0043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.

$$\text{Quotient: }43 \text{Reminder: }20$$

Factor

$$\frac{131}{3} = 43\frac{2}{3} = 43.666666666666664$$