Solve 400/36

$$\frac{ 400 }{ 36 }$$

Evaluate

$$\frac{100}{9}\approx 11.111111111$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 400

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)400}\\\end{array}$$

Since 4 is less than 36, use the next digit 0 from dividend 400 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)400}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 400

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)400}\\\end{array}$$

Find closest multiple of 36 to 40. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)400}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}4\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 400

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)400}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}40\\\end{array}$$

Find closest multiple of 36 to 40. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}011\phantom{6}\\36\overline{)400}\\\phantom{36)}\underline{\phantom{}36\phantom{9}}\\\phantom{36)9}40\\\phantom{36)}\underline{\phantom{9}36\phantom{}}\\\phantom{36)99}4\\\end{array}$$

Since 4 is less than 36, stop the division. The reminder is 4. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2}} = 11\frac{1}{9} = 11.11111111111111$$