Solve 1234:14

$$1234 : 14$$

Evaluate

$$\frac{617}{7}\approx 88.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1234

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)1234}\\\end{array}$$

Since 1 is less than 14, use the next digit 2 from dividend 1234 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)1234}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1234

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)1234}\\\end{array}$$

Since 12 is less than 14, use the next digit 3 from dividend 1234 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}00\phantom{4}\\14\overline{)1234}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1234

$$\begin{array}{l}\phantom{14)}00\phantom{5}\\14\overline{)1234}\\\end{array}$$

Find closest multiple of 14 to 123. We see that 8 \times 14 = 112 is the nearest. Now subtract 112 from 123 to get reminder 11. Add 8 to quotient.

$$\begin{array}{l}\phantom{14)}008\phantom{6}\\14\overline{)1234}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)9}11\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1234

$$\begin{array}{l}\phantom{14)}008\phantom{7}\\14\overline{)1234}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)9}114\\\end{array}$$

Find closest multiple of 14 to 114. We see that 8 \times 14 = 112 is the nearest. Now subtract 112 from 114 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{14)}0088\phantom{8}\\14\overline{)1234}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)9}114\\\phantom{14)}\underline{\phantom{9}112\phantom{}}\\\phantom{14)999}2\\\end{array}$$

Since 2 is less than 14, stop the division. The reminder is 2. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.

$$\text{Quotient: }88 \text{Reminder: }2$$

Factor

$$\frac{617}{7} = 88\frac{1}{7} = 88.14285714285714$$