Solve 48125div36

$$48125 \div 36$$

Evaluate

$$\frac{48125}{36}\approx 1336.805555556$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 48125

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)48125}\\\end{array}$$

Since 4 is less than 36, use the next digit 8 from dividend 48125 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)48125}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 48125

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)48125}\\\end{array}$$

Find closest multiple of 36 to 48. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 48 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}12\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 48125

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\end{array}$$

Find closest multiple of 36 to 121. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 121 to get reminder 13. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}013\phantom{6}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}13\\\end{array}$$

Use the 4^{th} digit 2 from dividend 48125

$$\begin{array}{l}\phantom{36)}013\phantom{7}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}132\\\end{array}$$

Find closest multiple of 36 to 132. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 132 to get reminder 24. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}0133\phantom{8}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}132\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}24\\\end{array}$$

Use the 5^{th} digit 5 from dividend 48125

$$\begin{array}{l}\phantom{36)}0133\phantom{9}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}132\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}245\\\end{array}$$

Find closest multiple of 36 to 245. We see that 6 \times 36 = 216 is the nearest. Now subtract 216 from 245 to get reminder 29. Add 6 to quotient.

$$\begin{array}{l}\phantom{36)}01336\phantom{10}\\36\overline{)48125}\\\phantom{36)}\underline{\phantom{}36\phantom{999}}\\\phantom{36)}121\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}132\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}245\\\phantom{36)}\underline{\phantom{99}216\phantom{}}\\\phantom{36)999}29\\\end{array}$$

Since 29 is less than 36, stop the division. The reminder is 29. The topmost line 01336 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1336.

$$\text{Quotient: }1336 \text{Reminder: }29$$

Factor

$$\frac{5 ^ {4} \cdot 7 \cdot 11}{2 ^ {2} \cdot 3 ^ {2}} = 1336\frac{29}{36} = 1336.8055555555557$$