Solve 34567div45

$$34567 \div 45$$

Evaluate

$$\frac{34567}{45}\approx 768.155555556$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34567

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)34567}\\\end{array}$$

Since 3 is less than 45, use the next digit 4 from dividend 34567 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)34567}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34567

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)34567}\\\end{array}$$

Since 34 is less than 45, use the next digit 5 from dividend 34567 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)34567}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 34567

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)34567}\\\end{array}$$

Find closest multiple of 45 to 345. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 345 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}007\phantom{6}\\45\overline{)34567}\\\phantom{45)}\underline{\phantom{}315\phantom{99}}\\\phantom{45)9}30\\\end{array}$$

Use the 4^{th} digit 6 from dividend 34567

$$\begin{array}{l}\phantom{45)}007\phantom{7}\\45\overline{)34567}\\\phantom{45)}\underline{\phantom{}315\phantom{99}}\\\phantom{45)9}306\\\end{array}$$

Find closest multiple of 45 to 306. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 306 to get reminder 36. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}0076\phantom{8}\\45\overline{)34567}\\\phantom{45)}\underline{\phantom{}315\phantom{99}}\\\phantom{45)9}306\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}36\\\end{array}$$

Use the 5^{th} digit 7 from dividend 34567

$$\begin{array}{l}\phantom{45)}0076\phantom{9}\\45\overline{)34567}\\\phantom{45)}\underline{\phantom{}315\phantom{99}}\\\phantom{45)9}306\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}367\\\end{array}$$

Find closest multiple of 45 to 367. We see that 8 \times 45 = 360 is the nearest. Now subtract 360 from 367 to get reminder 7. Add 8 to quotient.

$$\begin{array}{l}\phantom{45)}00768\phantom{10}\\45\overline{)34567}\\\phantom{45)}\underline{\phantom{}315\phantom{99}}\\\phantom{45)9}306\\\phantom{45)}\underline{\phantom{9}270\phantom{9}}\\\phantom{45)99}367\\\phantom{45)}\underline{\phantom{99}360\phantom{}}\\\phantom{45)9999}7\\\end{array}$$

Since 7 is less than 45, stop the division. The reminder is 7. The topmost line 00768 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 768.

$$\text{Quotient: }768 \text{Reminder: }7$$

Factor

$$\frac{13 \cdot 2659}{3 ^ {2} \cdot 5} = 768\frac{7}{45} = 768.1555555555556$$