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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 634 · 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. 1.89616 ÷ 97 =
  2. 2.15592 ÷ 98 =
  3. 3.75987 ÷ 98 =
  4. 4.218443 ÷ 897 =
  5. 5.7060 ÷ 97 =
  6. 6.59556 ÷ 98 =
  7. 7.1184 ÷ 8 =
  8. 8.60597 ÷ 96 =
  9. 9.5830 ÷ 97 =
  10. 10.994325 ÷ 897 =
  11. 11.99385 ÷ 98 =
  12. 12.4145 ÷ 8 =
  13. 13.534406 ÷ 989 =
  14. 14.3174 ÷ 8 =
  15. 15.709204 ÷ 897 =
  16. 16.867 ÷ 8 =
  17. 17.19515 ÷ 96 =
  18. 18.66438 ÷ 96 =
  19. 19.57629 ÷ 98 =
  20. 20.71359 ÷ 96 =
  21. 21.40398 ÷ 97 =
  22. 22.97654 ÷ 98 =
  23. 23.89239 ÷ 97 =
  24. 24.1135 ÷ 8 =
  25. 25.357478 ÷ 989 =
  26. 26.163387 ÷ 989 =
  27. 27.880512 ÷ 988 =
  28. 28.51990 ÷ 89 =
  29. 29.372325 ÷ 997 =
  30. 30.11170 ÷ 97 =
  31. 31.75874 ÷ 96 =
  32. 32.563518 ÷ 998 =
  33. 33.75734 ÷ 897 =
  34. 34.6535 ÷ 97 =
  35. 35.60207 ÷ 89 =
  36. 36.297705 ÷ 897 =
  37. 37.19245 ÷ 96 =
  38. 38.155119 ÷ 998 =
  39. 39.541308 ÷ 897 =
  40. 40.54607 ÷ 96 =

Answer key

  1. 923 rem 85
  2. 159 rem 10
  3. 775 rem 37
  4. 243 rem 472
  5. 72 rem 76
  6. 607 rem 70
  7. 148 rem 0
  8. 631 rem 21
  9. 60 rem 10
  10. 1108 rem 449
  11. 1014 rem 13
  12. 518 rem 1
  13. 540 rem 346
  14. 396 rem 6
  15. 790 rem 574
  16. 108 rem 3
  17. 203 rem 27
  18. 692 rem 6
  19. 588 rem 5
  20. 743 rem 31
  21. 416 rem 46
  22. 996 rem 46
  23. 919 rem 96
  24. 141 rem 7
  25. 361 rem 449
  26. 165 rem 202
  27. 891 rem 204
  28. 584 rem 14
  29. 373 rem 444
  30. 115 rem 15
  31. 790 rem 34
  32. 564 rem 646
  33. 84 rem 386
  34. 67 rem 36
  35. 676 rem 43
  36. 331 rem 798
  37. 200 rem 45
  38. 155 rem 429
  39. 603 rem 417
  40. 568 rem 79

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