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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 396 · 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. 1.95298 ÷ 88 =
  2. 2.102637 ÷ 897 =
  3. 3.1911 ÷ 96 =
  4. 4.75252 ÷ 88 =
  5. 5.44468 ÷ 97 =
  6. 6.521660 ÷ 998 =
  7. 7.1209 ÷ 8 =
  8. 8.89814 ÷ 98 =
  9. 9.684659 ÷ 989 =
  10. 10.801580 ÷ 989 =
  11. 11.4257 ÷ 96 =
  12. 12.142119 ÷ 997 =
  13. 13.641916 ÷ 998 =
  14. 14.67193 ÷ 998 =
  15. 15.920042 ÷ 988 =
  16. 16.78293 ÷ 97 =
  17. 17.977907 ÷ 989 =
  18. 18.19353 ÷ 89 =
  19. 19.335525 ÷ 997 =
  20. 20.77277 ÷ 89 =
  21. 21.138018 ÷ 998 =
  22. 22.430368 ÷ 989 =
  23. 23.947528 ÷ 988 =
  24. 24.754819 ÷ 998 =
  25. 25.330373 ÷ 988 =
  26. 26.17632 ÷ 89 =
  27. 27.111595 ÷ 988 =
  28. 28.89929 ÷ 97 =
  29. 29.67810 ÷ 96 =
  30. 30.77691 ÷ 98 =
  31. 31.223735 ÷ 897 =
  32. 32.313477 ÷ 989 =
  33. 33.81274 ÷ 88 =
  34. 34.40976 ÷ 97 =
  35. 35.74113 ÷ 88 =
  36. 36.65082 ÷ 96 =
  37. 37.82606 ÷ 988 =
  38. 38.78328 ÷ 98 =
  39. 39.21660 ÷ 98 =
  40. 40.81652 ÷ 96 =

Answer key

  1. 1082 rem 82
  2. 114 rem 379
  3. 19 rem 87
  4. 855 rem 12
  5. 458 rem 42
  6. 522 rem 704
  7. 151 rem 1
  8. 916 rem 46
  9. 692 rem 271
  10. 810 rem 490
  11. 44 rem 33
  12. 142 rem 545
  13. 643 rem 202
  14. 67 rem 327
  15. 931 rem 214
  16. 807 rem 14
  17. 988 rem 775
  18. 217 rem 40
  19. 336 rem 533
  20. 868 rem 25
  21. 138 rem 294
  22. 435 rem 153
  23. 959 rem 36
  24. 756 rem 331
  25. 334 rem 381
  26. 198 rem 10
  27. 112 rem 939
  28. 927 rem 10
  29. 706 rem 34
  30. 792 rem 75
  31. 249 rem 382
  32. 316 rem 953
  33. 923 rem 50
  34. 422 rem 42
  35. 842 rem 17
  36. 677 rem 90
  37. 83 rem 602
  38. 799 rem 26
  39. 221 rem 2
  40. 850 rem 52

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