Solve 11820/35

$$\frac { 11820 } { 35 }$$

Evaluate

$$\frac{2364}{7}\approx 337.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11820

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)11820}\\\end{array}$$

Since 1 is less than 35, use the next digit 1 from dividend 11820 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)11820}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11820

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)11820}\\\end{array}$$

Since 11 is less than 35, use the next digit 8 from dividend 11820 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)11820}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 11820

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)11820}\\\end{array}$$

Find closest multiple of 35 to 118. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 118 to get reminder 13. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}003\phantom{6}\\35\overline{)11820}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}13\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11820

$$\begin{array}{l}\phantom{35)}003\phantom{7}\\35\overline{)11820}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}132\\\end{array}$$

Find closest multiple of 35 to 132. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 132 to get reminder 27. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}0033\phantom{8}\\35\overline{)11820}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}132\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}27\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11820

$$\begin{array}{l}\phantom{35)}0033\phantom{9}\\35\overline{)11820}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}132\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}270\\\end{array}$$

Find closest multiple of 35 to 270. We see that 7 \times 35 = 245 is the nearest. Now subtract 245 from 270 to get reminder 25. Add 7 to quotient.

$$\begin{array}{l}\phantom{35)}00337\phantom{10}\\35\overline{)11820}\\\phantom{35)}\underline{\phantom{}105\phantom{99}}\\\phantom{35)9}132\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}270\\\phantom{35)}\underline{\phantom{99}245\phantom{}}\\\phantom{35)999}25\\\end{array}$$

Since 25 is less than 35, stop the division. The reminder is 25. The topmost line 00337 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 337.

$$\text{Quotient: }337 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 197}{7} = 337\frac{5}{7} = 337.7142857142857$$