Solve 5687/35

$$\frac { 5687 } { 35 }$$

Evaluate

$$\frac{5687}{35}\approx 162.485714286$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5687

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)5687}\\\end{array}$$

Since 5 is less than 35, use the next digit 6 from dividend 5687 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)5687}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 5687

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)5687}\\\end{array}$$

Find closest multiple of 35 to 56. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 56 to get reminder 21. Add 1 to quotient.

$$\begin{array}{l}\phantom{35)}01\phantom{4}\\35\overline{)5687}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}21\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 5687

$$\begin{array}{l}\phantom{35)}01\phantom{5}\\35\overline{)5687}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}218\\\end{array}$$

Find closest multiple of 35 to 218. We see that 6 \times 35 = 210 is the nearest. Now subtract 210 from 218 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{35)}016\phantom{6}\\35\overline{)5687}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}218\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)99}8\\\end{array}$$

Use the 4^{th} digit 7 from dividend 5687

$$\begin{array}{l}\phantom{35)}016\phantom{7}\\35\overline{)5687}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}218\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)99}87\\\end{array}$$

Find closest multiple of 35 to 87. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 87 to get reminder 17. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}0162\phantom{8}\\35\overline{)5687}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}218\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)99}87\\\phantom{35)}\underline{\phantom{99}70\phantom{}}\\\phantom{35)99}17\\\end{array}$$

Since 17 is less than 35, stop the division. The reminder is 17. The topmost line 0162 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 162.

$$\text{Quotient: }162 \text{Reminder: }17$$

Factor

$$\frac{11 ^ {2} \cdot 47}{5 \cdot 7} = 162\frac{17}{35} = 162.4857142857143$$