Solve 1970/16

$$1970 / 16$$

Evaluate

$$\frac{985}{8}=123.125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1970

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1970}\\\end{array}$$

Since 1 is less than 16, use the next digit 9 from dividend 1970 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1970}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1970

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1970}\\\end{array}$$

Find closest multiple of 16 to 19. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 19 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)1970}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}3\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1970

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)1970}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}37\\\end{array}$$

Find closest multiple of 16 to 37. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 37 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}012\phantom{6}\\16\overline{)1970}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}37\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}5\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1970

$$\begin{array}{l}\phantom{16)}012\phantom{7}\\16\overline{)1970}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}37\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}50\\\end{array}$$

Find closest multiple of 16 to 50. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}0123\phantom{8}\\16\overline{)1970}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}37\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}50\\\phantom{16)}\underline{\phantom{99}48\phantom{}}\\\phantom{16)999}2\\\end{array}$$

Since 2 is less than 16, stop the division. The reminder is 2. The topmost line 0123 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 123.

$$\text{Quotient: }123 \text{Reminder: }2$$

Factor

$$\frac{5 \cdot 197}{2 ^ {3}} = 123\frac{1}{8} = 123.125$$