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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 834 · 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. 1.865827 ÷ 897 =
  2. 2.536371 ÷ 988 =
  3. 3.23606 ÷ 89 =
  4. 4.668428 ÷ 988 =
  5. 5.654806 ÷ 988 =
  6. 6.641082 ÷ 997 =
  7. 7.5091 ÷ 89 =
  8. 8.660529 ÷ 997 =
  9. 9.26401 ÷ 98 =
  10. 10.64523 ÷ 97 =
  11. 11.11756 ÷ 96 =
  12. 12.77939 ÷ 88 =
  13. 13.86379 ÷ 96 =
  14. 14.6746 ÷ 8 =
  15. 15.261442 ÷ 989 =
  16. 16.4882 ÷ 97 =
  17. 17.73600 ÷ 89 =
  18. 18.27071 ÷ 88 =
  19. 19.68882 ÷ 89 =
  20. 20.4266 ÷ 96 =
  21. 21.26650 ÷ 98 =
  22. 22.89057 ÷ 97 =
  23. 23.536909 ÷ 997 =
  24. 24.66099 ÷ 89 =
  25. 25.670145 ÷ 997 =
  26. 26.62547 ÷ 88 =
  27. 27.658249 ÷ 997 =
  28. 28.311236 ÷ 989 =
  29. 29.11792 ÷ 98 =
  30. 30.863661 ÷ 998 =
  31. 31.32267 ÷ 97 =
  32. 32.35185 ÷ 997 =
  33. 33.72827 ÷ 997 =
  34. 34.18576 ÷ 89 =
  35. 35.418016 ÷ 989 =
  36. 36.89363 ÷ 96 =
  37. 37.95962 ÷ 897 =
  38. 38.453955 ÷ 989 =
  39. 39.87910 ÷ 97 =
  40. 40.94808 ÷ 97 =

Answer key

  1. 965 rem 222
  2. 542 rem 875
  3. 265 rem 21
  4. 676 rem 540
  5. 662 rem 750
  6. 643 rem 11
  7. 57 rem 18
  8. 662 rem 515
  9. 269 rem 39
  10. 665 rem 18
  11. 122 rem 44
  12. 885 rem 59
  13. 899 rem 75
  14. 843 rem 2
  15. 264 rem 346
  16. 50 rem 32
  17. 826 rem 86
  18. 307 rem 55
  19. 773 rem 85
  20. 44 rem 42
  21. 271 rem 92
  22. 918 rem 11
  23. 538 rem 523
  24. 742 rem 61
  25. 672 rem 161
  26. 710 rem 67
  27. 660 rem 229
  28. 314 rem 690
  29. 120 rem 32
  30. 865 rem 391
  31. 332 rem 63
  32. 35 rem 290
  33. 73 rem 46
  34. 208 rem 64
  35. 422 rem 658
  36. 930 rem 83
  37. 106 rem 880
  38. 459 rem 4
  39. 906 rem 28
  40. 977 rem 39

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