Solve 3140div45

$$3140 \div 45$$

Evaluate

$$\frac{628}{9}\approx 69.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3140

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3140}\\\end{array}$$

Since 3 is less than 45, use the next digit 1 from dividend 3140 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3140}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3140

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3140}\\\end{array}$$

Since 31 is less than 45, use the next digit 4 from dividend 3140 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3140}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3140

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3140}\\\end{array}$$

Find closest multiple of 45 to 314. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 314 to get reminder 44. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}006\phantom{6}\\45\overline{)3140}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}44\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3140

$$\begin{array}{l}\phantom{45)}006\phantom{7}\\45\overline{)3140}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}440\\\end{array}$$

Find closest multiple of 45 to 440. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 440 to get reminder 35. Add 9 to quotient.

$$\begin{array}{l}\phantom{45)}0069\phantom{8}\\45\overline{)3140}\\\phantom{45)}\underline{\phantom{}270\phantom{9}}\\\phantom{45)9}440\\\phantom{45)}\underline{\phantom{9}405\phantom{}}\\\phantom{45)99}35\\\end{array}$$

Since 35 is less than 45, stop the division. The reminder is 35. The topmost line 0069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }35$$

Factor

$$\frac{2 ^ {2} \cdot 157}{3 ^ {2}} = 69\frac{7}{9} = 69.77777777777777$$