Solve 82225div55

$$82225 \div 55$$

Evaluate

$$1495$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 82225

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)82225}\\\end{array}$$

Since 8 is less than 55, use the next digit 2 from dividend 82225 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)82225}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 82225

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)82225}\\\end{array}$$

Find closest multiple of 55 to 82. We see that 1 \times 55 = 55 is the nearest. Now subtract 55 from 82 to get reminder 27. Add 1 to quotient.

$$\begin{array}{l}\phantom{55)}01\phantom{4}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}27\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 82225

$$\begin{array}{l}\phantom{55)}01\phantom{5}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\end{array}$$

Find closest multiple of 55 to 272. We see that 4 \times 55 = 220 is the nearest. Now subtract 220 from 272 to get reminder 52. Add 4 to quotient.

$$\begin{array}{l}\phantom{55)}014\phantom{6}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\phantom{55)}\underline{\phantom{}220\phantom{99}}\\\phantom{55)9}52\\\end{array}$$

Use the 4^{th} digit 2 from dividend 82225

$$\begin{array}{l}\phantom{55)}014\phantom{7}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\phantom{55)}\underline{\phantom{}220\phantom{99}}\\\phantom{55)9}522\\\end{array}$$

Find closest multiple of 55 to 522. We see that 9 \times 55 = 495 is the nearest. Now subtract 495 from 522 to get reminder 27. Add 9 to quotient.

$$\begin{array}{l}\phantom{55)}0149\phantom{8}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\phantom{55)}\underline{\phantom{}220\phantom{99}}\\\phantom{55)9}522\\\phantom{55)}\underline{\phantom{9}495\phantom{9}}\\\phantom{55)99}27\\\end{array}$$

Use the 5^{th} digit 5 from dividend 82225

$$\begin{array}{l}\phantom{55)}0149\phantom{9}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\phantom{55)}\underline{\phantom{}220\phantom{99}}\\\phantom{55)9}522\\\phantom{55)}\underline{\phantom{9}495\phantom{9}}\\\phantom{55)99}275\\\end{array}$$

Find closest multiple of 55 to 275. We see that 5 \times 55 = 275 is the nearest. Now subtract 275 from 275 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{55)}01495\phantom{10}\\55\overline{)82225}\\\phantom{55)}\underline{\phantom{}55\phantom{999}}\\\phantom{55)}272\\\phantom{55)}\underline{\phantom{}220\phantom{99}}\\\phantom{55)9}522\\\phantom{55)}\underline{\phantom{9}495\phantom{9}}\\\phantom{55)99}275\\\phantom{55)}\underline{\phantom{99}275\phantom{}}\\\phantom{55)99999}0\\\end{array}$$

Since 0 is less than 55, stop the division. The reminder is 0. The topmost line 01495 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1495.

$$\text{Quotient: }1495 \text{Reminder: }0$$

Factor

$$5\times 13\times 23$$