Solve 1486div112

$$1486 \div 112$$

Evaluate

$$\frac{743}{56}\approx 13.267857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1486

$$\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)1486}\\\end{array}$$

Since 1 is less than 112, use the next digit 4 from dividend 1486 and add 0 to the quotient

$$\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)1486}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1486

$$\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)1486}\\\end{array}$$

Since 14 is less than 112, use the next digit 8 from dividend 1486 and add 0 to the quotient

$$\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)1486}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1486

$$\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)1486}\\\end{array}$$

Find closest multiple of 112 to 148. We see that 1 \times 112 = 112 is the nearest. Now subtract 112 from 148 to get reminder 36. Add 1 to quotient.

$$\begin{array}{l}\phantom{112)}001\phantom{6}\\112\overline{)1486}\\\phantom{112)}\underline{\phantom{}112\phantom{9}}\\\phantom{112)9}36\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1486

$$\begin{array}{l}\phantom{112)}001\phantom{7}\\112\overline{)1486}\\\phantom{112)}\underline{\phantom{}112\phantom{9}}\\\phantom{112)9}366\\\end{array}$$

Find closest multiple of 112 to 366. We see that 3 \times 112 = 336 is the nearest. Now subtract 336 from 366 to get reminder 30. Add 3 to quotient.

$$\begin{array}{l}\phantom{112)}0013\phantom{8}\\112\overline{)1486}\\\phantom{112)}\underline{\phantom{}112\phantom{9}}\\\phantom{112)9}366\\\phantom{112)}\underline{\phantom{9}336\phantom{}}\\\phantom{112)99}30\\\end{array}$$

Since 30 is less than 112, stop the division. The reminder is 30. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }30$$

Factor

$$\frac{743}{2 ^ {3} \cdot 7} = 13\frac{15}{56} = 13.267857142857142$$