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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 234 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.167085 ÷ 997 =
  2. 2.54698 ÷ 88 =
  3. 3.63551 ÷ 96 =
  4. 4.194043 ÷ 989 =
  5. 5.2305 ÷ 8 =
  6. 6.510586 ÷ 998 =
  7. 7.22876 ÷ 98 =
  8. 8.4307 ÷ 89 =
  9. 9.1373 ÷ 8 =
  10. 10.4887 ÷ 8 =
  11. 11.6143 ÷ 8 =
  12. 12.155478 ÷ 998 =
  13. 13.16738 ÷ 97 =
  14. 14.34493 ÷ 98 =
  15. 15.706914 ÷ 998 =
  16. 16.14740 ÷ 998 =
  17. 17.6561 ÷ 98 =
  18. 18.599153 ÷ 997 =
  19. 19.8579 ÷ 89 =
  20. 20.70007 ÷ 97 =
  21. 21.533176 ÷ 998 =
  22. 22.123869 ÷ 989 =
  23. 23.3541 ÷ 89 =
  24. 24.100738 ÷ 897 =
  25. 25.4892 ÷ 8 =
  26. 26.32956 ÷ 96 =
  27. 27.17834 ÷ 98 =
  28. 28.970696 ÷ 997 =
  29. 29.29676 ÷ 97 =
  30. 30.340036 ÷ 998 =
  31. 31.30668 ÷ 97 =
  32. 32.3967 ÷ 8 =
  33. 33.632134 ÷ 998 =
  34. 34.5199 ÷ 8 =
  35. 35.861800 ÷ 897 =
  36. 36.644226 ÷ 989 =
  37. 37.262257 ÷ 989 =
  38. 38.21986 ÷ 997 =
  39. 39.57117 ÷ 96 =
  40. 40.695841 ÷ 998 =

Answer key

  1. 167 rem 586
  2. 621 rem 50
  3. 661 rem 95
  4. 196 rem 199
  5. 288 rem 1
  6. 511 rem 608
  7. 233 rem 42
  8. 48 rem 35
  9. 171 rem 5
  10. 610 rem 7
  11. 767 rem 7
  12. 155 rem 788
  13. 172 rem 54
  14. 351 rem 95
  15. 708 rem 330
  16. 14 rem 768
  17. 66 rem 93
  18. 600 rem 953
  19. 96 rem 35
  20. 721 rem 70
  21. 534 rem 244
  22. 125 rem 244
  23. 39 rem 70
  24. 112 rem 274
  25. 611 rem 4
  26. 343 rem 28
  27. 181 rem 96
  28. 973 rem 615
  29. 305 rem 91
  30. 340 rem 716
  31. 316 rem 16
  32. 495 rem 7
  33. 633 rem 400
  34. 649 rem 7
  35. 960 rem 680
  36. 651 rem 387
  37. 265 rem 172
  38. 22 rem 52
  39. 594 rem 93
  40. 697 rem 235

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