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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 93 · 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. 1.907969 ÷ 997 =
  2. 2.295554 ÷ 997 =
  3. 3.337673 ÷ 998 =
  4. 4.10498 ÷ 97 =
  5. 5.554380 ÷ 988 =
  6. 6.668553 ÷ 989 =
  7. 7.256314 ÷ 897 =
  8. 8.35828 ÷ 988 =
  9. 9.4628 ÷ 8 =
  10. 10.55919 ÷ 89 =
  11. 11.84998 ÷ 96 =
  12. 12.766836 ÷ 897 =
  13. 13.79548 ÷ 89 =
  14. 14.659878 ÷ 989 =
  15. 15.68156 ÷ 96 =
  16. 16.403410 ÷ 897 =
  17. 17.91786 ÷ 98 =
  18. 18.518848 ÷ 997 =
  19. 19.61171 ÷ 89 =
  20. 20.746663 ÷ 989 =
  21. 21.82966 ÷ 897 =
  22. 22.258474 ÷ 997 =
  23. 23.9402 ÷ 8 =
  24. 24.66683 ÷ 88 =
  25. 25.75787 ÷ 89 =
  26. 26.890068 ÷ 998 =
  27. 27.102531 ÷ 989 =
  28. 28.8192 ÷ 8 =
  29. 29.65676 ÷ 88 =
  30. 30.59243 ÷ 89 =
  31. 31.691 ÷ 8 =
  32. 32.986187 ÷ 897 =
  33. 33.417505 ÷ 997 =
  34. 34.997 ÷ 8 =
  35. 35.29551 ÷ 96 =
  36. 36.84361 ÷ 97 =
  37. 37.1633 ÷ 8 =
  38. 38.411035 ÷ 998 =
  39. 39.22862 ÷ 96 =
  40. 40.4239 ÷ 8 =

Answer key

  1. 910 rem 699
  2. 296 rem 442
  3. 338 rem 349
  4. 108 rem 22
  5. 561 rem 112
  6. 675 rem 978
  7. 285 rem 669
  8. 36 rem 260
  9. 578 rem 4
  10. 628 rem 27
  11. 885 rem 38
  12. 854 rem 798
  13. 893 rem 71
  14. 667 rem 215
  15. 709 rem 92
  16. 449 rem 657
  17. 936 rem 58
  18. 520 rem 408
  19. 687 rem 28
  20. 754 rem 957
  21. 92 rem 442
  22. 259 rem 251
  23. 1175 rem 2
  24. 757 rem 67
  25. 851 rem 48
  26. 891 rem 850
  27. 103 rem 664
  28. 1024 rem 0
  29. 746 rem 28
  30. 665 rem 58
  31. 86 rem 3
  32. 1099 rem 384
  33. 418 rem 759
  34. 124 rem 5
  35. 307 rem 79
  36. 869 rem 68
  37. 204 rem 1
  38. 411 rem 857
  39. 238 rem 14
  40. 529 rem 7

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