Solve 1958div12

$$1958 \div 12$$

Evaluate

$$\frac{979}{6}\approx 163.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1958

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1958}\\\end{array}$$

Since 1 is less than 12, use the next digit 9 from dividend 1958 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1958}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1958

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1958}\\\end{array}$$

Find closest multiple of 12 to 19. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 19 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1958}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1958

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1958}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}75\\\end{array}$$

Find closest multiple of 12 to 75. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}016\phantom{6}\\12\overline{)1958}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}3\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1958

$$\begin{array}{l}\phantom{12)}016\phantom{7}\\12\overline{)1958}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}38\\\end{array}$$

Find closest multiple of 12 to 38. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 38 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}0163\phantom{8}\\12\overline{)1958}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}38\\\phantom{12)}\underline{\phantom{99}36\phantom{}}\\\phantom{12)999}2\\\end{array}$$

Since 2 is less than 12, stop the division. The reminder is 2. The topmost line 0163 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 163.

$$\text{Quotient: }163 \text{Reminder: }2$$

Factor

$$\frac{11 \cdot 89}{2 \cdot 3} = 163\frac{1}{6} = 163.16666666666666$$