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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 429 · 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. 1.8953 ÷ 98 =
  2. 2.17922 ÷ 98 =
  3. 3.13570 ÷ 96 =
  4. 4.21534 ÷ 89 =
  5. 5.29276 ÷ 88 =
  6. 6.5143 ÷ 97 =
  7. 7.421269 ÷ 997 =
  8. 8.45338 ÷ 97 =
  9. 9.53158 ÷ 88 =
  10. 10.833776 ÷ 897 =
  11. 11.80980 ÷ 96 =
  12. 12.390714 ÷ 988 =
  13. 13.25583 ÷ 98 =
  14. 14.9734 ÷ 98 =
  15. 15.284003 ÷ 989 =
  16. 16.4439 ÷ 8 =
  17. 17.2705 ÷ 8 =
  18. 18.55825 ÷ 89 =
  19. 19.663109 ÷ 997 =
  20. 20.62795 ÷ 98 =
  21. 21.50773 ÷ 998 =
  22. 22.5361 ÷ 8 =
  23. 23.90012 ÷ 89 =
  24. 24.483844 ÷ 989 =
  25. 25.89305 ÷ 89 =
  26. 26.520512 ÷ 897 =
  27. 27.561621 ÷ 988 =
  28. 28.30574 ÷ 96 =
  29. 29.48103 ÷ 88 =
  30. 30.339040 ÷ 998 =
  31. 31.254706 ÷ 998 =
  32. 32.188537 ÷ 897 =
  33. 33.51794 ÷ 89 =
  34. 34.50973 ÷ 88 =
  35. 35.89165 ÷ 98 =
  36. 36.342988 ÷ 997 =
  37. 37.93173 ÷ 89 =
  38. 38.432721 ÷ 989 =
  39. 39.45066 ÷ 88 =
  40. 40.538 ÷ 8 =

Answer key

  1. 91 rem 35
  2. 182 rem 86
  3. 141 rem 34
  4. 241 rem 85
  5. 332 rem 60
  6. 53 rem 2
  7. 422 rem 535
  8. 467 rem 39
  9. 604 rem 6
  10. 929 rem 463
  11. 843 rem 52
  12. 395 rem 454
  13. 261 rem 5
  14. 99 rem 32
  15. 287 rem 160
  16. 554 rem 7
  17. 338 rem 1
  18. 627 rem 22
  19. 665 rem 104
  20. 640 rem 75
  21. 50 rem 873
  22. 670 rem 1
  23. 1011 rem 33
  24. 489 rem 223
  25. 1003 rem 38
  26. 580 rem 252
  27. 568 rem 437
  28. 318 rem 46
  29. 546 rem 55
  30. 339 rem 718
  31. 255 rem 216
  32. 210 rem 167
  33. 581 rem 85
  34. 579 rem 21
  35. 909 rem 83
  36. 344 rem 20
  37. 1046 rem 79
  38. 437 rem 528
  39. 512 rem 10
  40. 67 rem 2

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