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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 386 · 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. 1.34944 ÷ 88 =
  2. 2.36488 ÷ 89 =
  3. 3.61964 ÷ 97 =
  4. 4.28924 ÷ 97 =
  5. 5.107164 ÷ 897 =
  6. 6.557984 ÷ 998 =
  7. 7.15419 ÷ 88 =
  8. 8.5501 ÷ 8 =
  9. 9.19369 ÷ 89 =
  10. 10.36189 ÷ 98 =
  11. 11.81970 ÷ 88 =
  12. 12.901295 ÷ 989 =
  13. 13.70494 ÷ 88 =
  14. 14.759784 ÷ 989 =
  15. 15.8262 ÷ 8 =
  16. 16.734062 ÷ 989 =
  17. 17.1512 ÷ 8 =
  18. 18.611385 ÷ 997 =
  19. 19.74165 ÷ 89 =
  20. 20.70201 ÷ 98 =
  21. 21.10239 ÷ 89 =
  22. 22.585689 ÷ 988 =
  23. 23.820886 ÷ 998 =
  24. 24.301447 ÷ 998 =
  25. 25.79334 ÷ 989 =
  26. 26.27771 ÷ 96 =
  27. 27.89158 ÷ 98 =
  28. 28.894419 ÷ 989 =
  29. 29.44675 ÷ 97 =
  30. 30.14822 ÷ 897 =
  31. 31.14420 ÷ 98 =
  32. 32.94327 ÷ 96 =
  33. 33.11182 ÷ 98 =
  34. 34.572272 ÷ 998 =
  35. 35.36505 ÷ 98 =
  36. 36.670401 ÷ 998 =
  37. 37.11916 ÷ 98 =
  38. 38.98945 ÷ 97 =
  39. 39.844666 ÷ 897 =
  40. 40.6264 ÷ 8 =

Answer key

  1. 397 rem 8
  2. 409 rem 87
  3. 638 rem 78
  4. 298 rem 18
  5. 119 rem 421
  6. 559 rem 102
  7. 175 rem 19
  8. 687 rem 5
  9. 217 rem 56
  10. 369 rem 27
  11. 931 rem 42
  12. 911 rem 316
  13. 801 rem 6
  14. 768 rem 232
  15. 1032 rem 6
  16. 742 rem 224
  17. 189 rem 0
  18. 613 rem 224
  19. 833 rem 28
  20. 716 rem 33
  21. 115 rem 4
  22. 592 rem 793
  23. 822 rem 530
  24. 302 rem 51
  25. 80 rem 214
  26. 289 rem 27
  27. 909 rem 76
  28. 904 rem 363
  29. 460 rem 55
  30. 16 rem 470
  31. 147 rem 14
  32. 982 rem 55
  33. 114 rem 10
  34. 573 rem 418
  35. 372 rem 49
  36. 671 rem 743
  37. 121 rem 58
  38. 1020 rem 5
  39. 941 rem 589
  40. 783 rem 0

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