Solve 11125/36

$$\frac{ 11125 }{ 36 }$$

Evaluate

$$\frac{11125}{36}\approx 309.027777778$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11125

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)11125}\\\end{array}$$

Since 1 is less than 36, use the next digit 1 from dividend 11125 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)11125}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11125

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)11125}\\\end{array}$$

Since 11 is less than 36, use the next digit 1 from dividend 11125 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)11125}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 11125

$$\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)11125}\\\end{array}$$

Find closest multiple of 36 to 111. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 111 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}003\phantom{6}\\36\overline{)11125}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)99}3\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11125

$$\begin{array}{l}\phantom{36)}003\phantom{7}\\36\overline{)11125}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)99}32\\\end{array}$$

Since 32 is less than 36, use the next digit 5 from dividend 11125 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0030\phantom{8}\\36\overline{)11125}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)99}32\\\end{array}$$

Use the 5^{th} digit 5 from dividend 11125

$$\begin{array}{l}\phantom{36)}0030\phantom{9}\\36\overline{)11125}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)99}325\\\end{array}$$

Find closest multiple of 36 to 325. We see that 9 \times 36 = 324 is the nearest. Now subtract 324 from 325 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{36)}00309\phantom{10}\\36\overline{)11125}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)99}325\\\phantom{36)}\underline{\phantom{99}324\phantom{}}\\\phantom{36)9999}1\\\end{array}$$

Since 1 is less than 36, stop the division. The reminder is 1. The topmost line 00309 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 309.

$$\text{Quotient: }309 \text{Reminder: }1$$

Factor

$$\frac{5 ^ {3} \cdot 89}{2 ^ {2} \cdot 3 ^ {2}} = 309\frac{1}{36} = 309.02777777777777$$