Solve 3038div14

$$3038 \div 14$$

Evaluate

$$217$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3038

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)3038}\\\end{array}$$

Since 3 is less than 14, use the next digit 0 from dividend 3038 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)3038}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3038

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)3038}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)3038}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}2\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 3038

$$\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)3038}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}23\\\end{array}$$

Find closest multiple of 14 to 23. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 23 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}021\phantom{6}\\14\overline{)3038}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}23\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}9\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3038

$$\begin{array}{l}\phantom{14)}021\phantom{7}\\14\overline{)3038}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}23\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}98\\\end{array}$$

Find closest multiple of 14 to 98. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 98 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}0217\phantom{8}\\14\overline{)3038}\\\phantom{14)}\underline{\phantom{}28\phantom{99}}\\\phantom{14)9}23\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}98\\\phantom{14)}\underline{\phantom{99}98\phantom{}}\\\phantom{14)9999}0\\\end{array}$$

Since 0 is less than 14, stop the division. The reminder is 0. The topmost line 0217 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 217.

$$\text{Quotient: }217 \text{Reminder: }0$$

Factor

$$7\times 31$$