Solve 4175div36

$$4175 \div 36$$

Evaluate

$$\frac{4175}{36}\approx 115.972222222$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4175

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)4175}\\\end{array}$$

Since 4 is less than 36, use the next digit 1 from dividend 4175 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)4175}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4175

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)4175}\\\end{array}$$

Find closest multiple of 36 to 41. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 41 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)4175}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}5\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 4175

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)4175}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}57\\\end{array}$$

Find closest multiple of 36 to 57. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 57 to get reminder 21. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}011\phantom{6}\\36\overline{)4175}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}57\\\phantom{36)}\underline{\phantom{9}36\phantom{9}}\\\phantom{36)9}21\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4175

$$\begin{array}{l}\phantom{36)}011\phantom{7}\\36\overline{)4175}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}57\\\phantom{36)}\underline{\phantom{9}36\phantom{9}}\\\phantom{36)9}215\\\end{array}$$

Find closest multiple of 36 to 215. We see that 5 \times 36 = 180 is the nearest. Now subtract 180 from 215 to get reminder 35. Add 5 to quotient.

$$\begin{array}{l}\phantom{36)}0115\phantom{8}\\36\overline{)4175}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}57\\\phantom{36)}\underline{\phantom{9}36\phantom{9}}\\\phantom{36)9}215\\\phantom{36)}\underline{\phantom{9}180\phantom{}}\\\phantom{36)99}35\\\end{array}$$

Since 35 is less than 36, stop the division. The reminder is 35. The topmost line 0115 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 115.

$$\text{Quotient: }115 \text{Reminder: }35$$

Factor

$$\frac{5 ^ {2} \cdot 167}{2 ^ {2} \cdot 3 ^ {2}} = 115\frac{35}{36} = 115.97222222222223$$