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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 210 · 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. 1.21271 ÷ 96 =
  2. 2.9693 ÷ 8 =
  3. 3.50373 ÷ 98 =
  4. 4.6274 ÷ 98 =
  5. 5.336368 ÷ 989 =
  6. 6.33362 ÷ 98 =
  7. 7.6610 ÷ 8 =
  8. 8.59420 ÷ 997 =
  9. 9.160504 ÷ 897 =
  10. 10.46650 ÷ 96 =
  11. 11.494179 ÷ 897 =
  12. 12.12222 ÷ 89 =
  13. 13.536882 ÷ 997 =
  14. 14.53453 ÷ 89 =
  15. 15.245348 ÷ 897 =
  16. 16.300209 ÷ 897 =
  17. 17.8876 ÷ 8 =
  18. 18.11369 ÷ 98 =
  19. 19.58905 ÷ 97 =
  20. 20.31340 ÷ 97 =
  21. 21.810450 ÷ 998 =
  22. 22.113132 ÷ 897 =
  23. 23.917572 ÷ 998 =
  24. 24.64041 ÷ 98 =
  25. 25.79936 ÷ 989 =
  26. 26.31385 ÷ 89 =
  27. 27.52027 ÷ 97 =
  28. 28.540026 ÷ 897 =
  29. 29.77965 ÷ 97 =
  30. 30.283854 ÷ 897 =
  31. 31.83644 ÷ 89 =
  32. 32.10951 ÷ 97 =
  33. 33.37359 ÷ 88 =
  34. 34.26326 ÷ 96 =
  35. 35.831713 ÷ 988 =
  36. 36.728294 ÷ 997 =
  37. 37.401756 ÷ 989 =
  38. 38.40584 ÷ 96 =
  39. 39.64115 ÷ 988 =
  40. 40.67814 ÷ 998 =

Answer key

  1. 221 rem 55
  2. 1211 rem 5
  3. 514 rem 1
  4. 64 rem 2
  5. 340 rem 108
  6. 340 rem 42
  7. 826 rem 2
  8. 59 rem 597
  9. 178 rem 838
  10. 485 rem 90
  11. 550 rem 829
  12. 137 rem 29
  13. 538 rem 496
  14. 600 rem 53
  15. 273 rem 467
  16. 334 rem 611
  17. 1109 rem 4
  18. 116 rem 1
  19. 607 rem 26
  20. 323 rem 9
  21. 812 rem 74
  22. 126 rem 110
  23. 919 rem 410
  24. 653 rem 47
  25. 80 rem 816
  26. 352 rem 57
  27. 536 rem 35
  28. 602 rem 32
  29. 803 rem 74
  30. 316 rem 402
  31. 939 rem 73
  32. 112 rem 87
  33. 424 rem 47
  34. 274 rem 22
  35. 841 rem 805
  36. 730 rem 484
  37. 406 rem 222
  38. 422 rem 72
  39. 64 rem 883
  40. 67 rem 948

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