Solve 9,073div35

$$9,073 \div 35$$

Evaluate

$$\frac{9073}{35}\approx 259.228571429$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9073

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)9073}\\\end{array}$$

Since 9 is less than 35, use the next digit 0 from dividend 9073 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)9073}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 9073

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)9073}\\\end{array}$$

Find closest multiple of 35 to 90. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 90 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)9073}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}20\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 9073

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)9073}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}207\\\end{array}$$

Find closest multiple of 35 to 207. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 207 to get reminder 32. Add 5 to quotient.

$$\begin{array}{l}\phantom{35)}025\phantom{6}\\35\overline{)9073}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}207\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}32\\\end{array}$$

Use the 4^{th} digit 3 from dividend 9073

$$\begin{array}{l}\phantom{35)}025\phantom{7}\\35\overline{)9073}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}207\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}323\\\end{array}$$

Find closest multiple of 35 to 323. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 323 to get reminder 8. Add 9 to quotient.

$$\begin{array}{l}\phantom{35)}0259\phantom{8}\\35\overline{)9073}\\\phantom{35)}\underline{\phantom{}70\phantom{99}}\\\phantom{35)}207\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}323\\\phantom{35)}\underline{\phantom{9}315\phantom{}}\\\phantom{35)999}8\\\end{array}$$

Since 8 is less than 35, stop the division. The reminder is 8. The topmost line 0259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 259.

$$\text{Quotient: }259 \text{Reminder: }8$$

Factor

$$\frac{43 \cdot 211}{5 \cdot 7} = 259\frac{8}{35} = 259.22857142857146$$