Solve 2456:16

$$2456 : 16$$

Evaluate

$$\frac{307}{2}=153.5$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2456

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)2456}\\\end{array}$$

Since 2 is less than 16, use the next digit 4 from dividend 2456 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)2456}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2456

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)2456}\\\end{array}$$

Find closest multiple of 16 to 24. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 24 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)2456}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}8\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2456

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)2456}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}85\\\end{array}$$

Find closest multiple of 16 to 85. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 85 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}015\phantom{6}\\16\overline{)2456}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}85\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)99}5\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2456

$$\begin{array}{l}\phantom{16)}015\phantom{7}\\16\overline{)2456}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}85\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)99}56\\\end{array}$$

Find closest multiple of 16 to 56. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 56 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}0153\phantom{8}\\16\overline{)2456}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}85\\\phantom{16)}\underline{\phantom{9}80\phantom{9}}\\\phantom{16)99}56\\\phantom{16)}\underline{\phantom{99}48\phantom{}}\\\phantom{16)999}8\\\end{array}$$

Since 8 is less than 16, stop the division. The reminder is 8. The topmost line 0153 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 153.

$$\text{Quotient: }153 \text{Reminder: }8$$

Factor

$$\frac{307}{2} = 153\frac{1}{2} = 153.5$$