Solve 29215:35

$$29215 : 35$$

Evaluate

$$\frac{5843}{7}\approx 834.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 29215

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)29215}\\\end{array}$$

Since 2 is less than 35, use the next digit 9 from dividend 29215 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)29215}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 29215

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)29215}\\\end{array}$$

Since 29 is less than 35, use the next digit 2 from dividend 29215 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)29215}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 29215

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)29215}\\\end{array}$$

Find closest multiple of 35 to 292. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 292 to get reminder 12. Add 8 to quotient.

$$\begin{array}{l}\phantom{35)}008\phantom{6}\\35\overline{)29215}\\\phantom{35)}\underline{\phantom{}280\phantom{99}}\\\phantom{35)9}12\\\end{array}$$

Use the 4^{th} digit 1 from dividend 29215

$$\begin{array}{l}\phantom{35)}008\phantom{7}\\35\overline{)29215}\\\phantom{35)}\underline{\phantom{}280\phantom{99}}\\\phantom{35)9}121\\\end{array}$$

Find closest multiple of 35 to 121. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 121 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}0083\phantom{8}\\35\overline{)29215}\\\phantom{35)}\underline{\phantom{}280\phantom{99}}\\\phantom{35)9}121\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}16\\\end{array}$$

Use the 5^{th} digit 5 from dividend 29215

$$\begin{array}{l}\phantom{35)}0083\phantom{9}\\35\overline{)29215}\\\phantom{35)}\underline{\phantom{}280\phantom{99}}\\\phantom{35)9}121\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}165\\\end{array}$$

Find closest multiple of 35 to 165. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 165 to get reminder 25. Add 4 to quotient.

$$\begin{array}{l}\phantom{35)}00834\phantom{10}\\35\overline{)29215}\\\phantom{35)}\underline{\phantom{}280\phantom{99}}\\\phantom{35)9}121\\\phantom{35)}\underline{\phantom{9}105\phantom{9}}\\\phantom{35)99}165\\\phantom{35)}\underline{\phantom{99}140\phantom{}}\\\phantom{35)999}25\\\end{array}$$

Since 25 is less than 35, stop the division. The reminder is 25. The topmost line 00834 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 834.

$$\text{Quotient: }834 \text{Reminder: }25$$

Factor

$$\frac{5843}{7} = 834\frac{5}{7} = 834.7142857142857$$