Solve 1438div15

$$1438 \div 15$$

Evaluate

$$\frac{1438}{15}\approx 95.866666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1438

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1438}\\\end{array}$$

Since 1 is less than 15, use the next digit 4 from dividend 1438 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1438}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1438

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1438}\\\end{array}$$

Since 14 is less than 15, use the next digit 3 from dividend 1438 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1438}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1438

$$\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1438}\\\end{array}$$

Find closest multiple of 15 to 143. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 143 to get reminder 8. Add 9 to quotient.

$$\begin{array}{l}\phantom{15)}009\phantom{6}\\15\overline{)1438}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}8\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1438

$$\begin{array}{l}\phantom{15)}009\phantom{7}\\15\overline{)1438}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}88\\\end{array}$$

Find closest multiple of 15 to 88. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 88 to get reminder 13. Add 5 to quotient.

$$\begin{array}{l}\phantom{15)}0095\phantom{8}\\15\overline{)1438}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}88\\\phantom{15)}\underline{\phantom{99}75\phantom{}}\\\phantom{15)99}13\\\end{array}$$

Since 13 is less than 15, stop the division. The reminder is 13. The topmost line 0095 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 95.

$$\text{Quotient: }95 \text{Reminder: }13$$

Factor

$$\frac{2 \cdot 719}{3 \cdot 5} = 95\frac{13}{15} = 95.86666666666666$$