Solve 1369div30

$$1369 \div 30$$

Evaluate

$$\frac{1369}{30}\approx 45.633333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1369

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1369}\\\end{array}$$

Since 1 is less than 30, use the next digit 3 from dividend 1369 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1369}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1369

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1369}\\\end{array}$$

Since 13 is less than 30, use the next digit 6 from dividend 1369 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1369}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1369

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1369}\\\end{array}$$

Find closest multiple of 30 to 136. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 136 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{30)}004\phantom{6}\\30\overline{)1369}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}16\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1369

$$\begin{array}{l}\phantom{30)}004\phantom{7}\\30\overline{)1369}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}169\\\end{array}$$

Find closest multiple of 30 to 169. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 169 to get reminder 19. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}0045\phantom{8}\\30\overline{)1369}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{}}\\\phantom{30)99}19\\\end{array}$$

Since 19 is less than 30, stop the division. The reminder is 19. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.

$$\text{Quotient: }45 \text{Reminder: }19$$

Factor

$$\frac{37 ^ {2}}{2 \cdot 3 \cdot 5} = 45\frac{19}{30} = 45.63333333333333$$