Solve 1312:16

$$1312 : 16$$

Evaluate

$$82$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1312

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1312}\\\end{array}$$

Since 1 is less than 16, use the next digit 3 from dividend 1312 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1312}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1312

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1312}\\\end{array}$$

Since 13 is less than 16, use the next digit 1 from dividend 1312 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)1312}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1312

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)1312}\\\end{array}$$

Find closest multiple of 16 to 131. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 131 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{16)}008\phantom{6}\\16\overline{)1312}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)99}3\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1312

$$\begin{array}{l}\phantom{16)}008\phantom{7}\\16\overline{)1312}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)99}32\\\end{array}$$

Find closest multiple of 16 to 32. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 32 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}0082\phantom{8}\\16\overline{)1312}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)99}32\\\phantom{16)}\underline{\phantom{99}32\phantom{}}\\\phantom{16)9999}0\\\end{array}$$

Since 0 is less than 16, stop the division. The reminder is 0. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }0$$

Factor

$$2\times 41$$