Solve 11366div237

$$11366 \div 237$$

Evaluate

$$\frac{11366}{237}\approx 47.957805907$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11366

$$\begin{array}{l}\phantom{237)}\phantom{1}\\237\overline{)11366}\\\end{array}$$

Since 1 is less than 237, use the next digit 1 from dividend 11366 and add 0 to the quotient

$$\begin{array}{l}\phantom{237)}0\phantom{2}\\237\overline{)11366}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11366

$$\begin{array}{l}\phantom{237)}0\phantom{3}\\237\overline{)11366}\\\end{array}$$

Since 11 is less than 237, use the next digit 3 from dividend 11366 and add 0 to the quotient

$$\begin{array}{l}\phantom{237)}00\phantom{4}\\237\overline{)11366}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 11366

$$\begin{array}{l}\phantom{237)}00\phantom{5}\\237\overline{)11366}\\\end{array}$$

Since 113 is less than 237, use the next digit 6 from dividend 11366 and add 0 to the quotient

$$\begin{array}{l}\phantom{237)}000\phantom{6}\\237\overline{)11366}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 11366

$$\begin{array}{l}\phantom{237)}000\phantom{7}\\237\overline{)11366}\\\end{array}$$

Find closest multiple of 237 to 1136. We see that 4 \times 237 = 948 is the nearest. Now subtract 948 from 1136 to get reminder 188. Add 4 to quotient.

$$\begin{array}{l}\phantom{237)}0004\phantom{8}\\237\overline{)11366}\\\phantom{237)}\underline{\phantom{9}948\phantom{9}}\\\phantom{237)9}188\\\end{array}$$

Use the 5^{th} digit 6 from dividend 11366

$$\begin{array}{l}\phantom{237)}0004\phantom{9}\\237\overline{)11366}\\\phantom{237)}\underline{\phantom{9}948\phantom{9}}\\\phantom{237)9}1886\\\end{array}$$

Find closest multiple of 237 to 1886. We see that 7 \times 237 = 1659 is the nearest. Now subtract 1659 from 1886 to get reminder 227. Add 7 to quotient.

$$\begin{array}{l}\phantom{237)}00047\phantom{10}\\237\overline{)11366}\\\phantom{237)}\underline{\phantom{9}948\phantom{9}}\\\phantom{237)9}1886\\\phantom{237)}\underline{\phantom{9}1659\phantom{}}\\\phantom{237)99}227\\\end{array}$$

Since 227 is less than 237, stop the division. The reminder is 227. The topmost line 00047 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47.

$$\text{Quotient: }47 \text{Reminder: }227$$

Factor

$$\frac{2 \cdot 5683}{3 \cdot 79} = 47\frac{227}{237} = 47.957805907173$$