Solve 3225:145

$$3225 : 145$$

Evaluate

$$\frac{645}{29}\approx 22.24137931$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3225

$$\begin{array}{l}\phantom{145)}\phantom{1}\\145\overline{)3225}\\\end{array}$$

Since 3 is less than 145, use the next digit 2 from dividend 3225 and add 0 to the quotient

$$\begin{array}{l}\phantom{145)}0\phantom{2}\\145\overline{)3225}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3225

$$\begin{array}{l}\phantom{145)}0\phantom{3}\\145\overline{)3225}\\\end{array}$$

Since 32 is less than 145, use the next digit 2 from dividend 3225 and add 0 to the quotient

$$\begin{array}{l}\phantom{145)}00\phantom{4}\\145\overline{)3225}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3225

$$\begin{array}{l}\phantom{145)}00\phantom{5}\\145\overline{)3225}\\\end{array}$$

Find closest multiple of 145 to 322. We see that 2 \times 145 = 290 is the nearest. Now subtract 290 from 322 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{145)}002\phantom{6}\\145\overline{)3225}\\\phantom{145)}\underline{\phantom{}290\phantom{9}}\\\phantom{145)9}32\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3225

$$\begin{array}{l}\phantom{145)}002\phantom{7}\\145\overline{)3225}\\\phantom{145)}\underline{\phantom{}290\phantom{9}}\\\phantom{145)9}325\\\end{array}$$

Find closest multiple of 145 to 325. We see that 2 \times 145 = 290 is the nearest. Now subtract 290 from 325 to get reminder 35. Add 2 to quotient.

$$\begin{array}{l}\phantom{145)}0022\phantom{8}\\145\overline{)3225}\\\phantom{145)}\underline{\phantom{}290\phantom{9}}\\\phantom{145)9}325\\\phantom{145)}\underline{\phantom{9}290\phantom{}}\\\phantom{145)99}35\\\end{array}$$

Since 35 is less than 145, stop the division. The reminder is 35. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }35$$

Factor

$$\frac{3 \cdot 5 \cdot 43}{29} = 22\frac{7}{29} = 22.24137931034483$$