Solve 6300div36

$$6300 \div 36$$

Evaluate

$$175$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6300

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)6300}\\\end{array}$$

Since 6 is less than 36, use the next digit 3 from dividend 6300 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)6300}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 6300

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)6300}\\\end{array}$$

Find closest multiple of 36 to 63. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 63 to get reminder 27. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)6300}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}27\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6300

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)6300}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}270\\\end{array}$$

Find closest multiple of 36 to 270. We see that 7 \times 36 = 252 is the nearest. Now subtract 252 from 270 to get reminder 18. Add 7 to quotient.

$$\begin{array}{l}\phantom{36)}017\phantom{6}\\36\overline{)6300}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}270\\\phantom{36)}\underline{\phantom{}252\phantom{9}}\\\phantom{36)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6300

$$\begin{array}{l}\phantom{36)}017\phantom{7}\\36\overline{)6300}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}270\\\phantom{36)}\underline{\phantom{}252\phantom{9}}\\\phantom{36)9}180\\\end{array}$$

Find closest multiple of 36 to 180. We see that 5 \times 36 = 180 is the nearest. Now subtract 180 from 180 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{36)}0175\phantom{8}\\36\overline{)6300}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}270\\\phantom{36)}\underline{\phantom{}252\phantom{9}}\\\phantom{36)9}180\\\phantom{36)}\underline{\phantom{9}180\phantom{}}\\\phantom{36)9999}0\\\end{array}$$

Since 0 is less than 36, stop the division. The reminder is 0. The topmost line 0175 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 175.

$$\text{Quotient: }175 \text{Reminder: }0$$

Factor

$$5^{2}\times 7$$