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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 240 · 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. 1.74172 ÷ 98 =
  2. 2.7679 ÷ 8 =
  3. 3.8295 ÷ 89 =
  4. 4.72395 ÷ 96 =
  5. 5.293730 ÷ 997 =
  6. 6.12035 ÷ 98 =
  7. 7.224018 ÷ 989 =
  8. 8.456113 ÷ 989 =
  9. 9.35958 ÷ 97 =
  10. 10.8463 ÷ 8 =
  11. 11.6781 ÷ 89 =
  12. 12.41624 ÷ 88 =
  13. 13.551456 ÷ 989 =
  14. 14.3848 ÷ 8 =
  15. 15.254169 ÷ 989 =
  16. 16.68324 ÷ 96 =
  17. 17.98354 ÷ 96 =
  18. 18.9459 ÷ 8 =
  19. 19.262894 ÷ 989 =
  20. 20.4021 ÷ 98 =
  21. 21.195663 ÷ 988 =
  22. 22.82277 ÷ 97 =
  23. 23.836659 ÷ 988 =
  24. 24.5618 ÷ 88 =
  25. 25.888588 ÷ 998 =
  26. 26.25487 ÷ 89 =
  27. 27.21237 ÷ 88 =
  28. 28.200957 ÷ 989 =
  29. 29.62371 ÷ 997 =
  30. 30.565894 ÷ 989 =
  31. 31.30516 ÷ 88 =
  32. 32.501036 ÷ 988 =
  33. 33.167740 ÷ 989 =
  34. 34.24605 ÷ 98 =
  35. 35.99268 ÷ 96 =
  36. 36.22010 ÷ 97 =
  37. 37.34958 ÷ 96 =
  38. 38.469150 ÷ 897 =
  39. 39.271486 ÷ 897 =
  40. 40.737698 ÷ 989 =

Answer key

  1. 756 rem 84
  2. 959 rem 7
  3. 93 rem 18
  4. 754 rem 11
  5. 294 rem 612
  6. 122 rem 79
  7. 226 rem 504
  8. 461 rem 184
  9. 370 rem 68
  10. 1057 rem 7
  11. 76 rem 17
  12. 473 rem 0
  13. 557 rem 583
  14. 481 rem 0
  15. 256 rem 985
  16. 711 rem 68
  17. 1024 rem 50
  18. 1182 rem 3
  19. 265 rem 809
  20. 41 rem 3
  21. 198 rem 39
  22. 848 rem 21
  23. 846 rem 811
  24. 63 rem 74
  25. 890 rem 368
  26. 286 rem 33
  27. 241 rem 29
  28. 203 rem 190
  29. 62 rem 557
  30. 572 rem 186
  31. 346 rem 68
  32. 507 rem 120
  33. 169 rem 599
  34. 251 rem 7
  35. 1034 rem 4
  36. 226 rem 88
  37. 364 rem 14
  38. 523 rem 19
  39. 302 rem 592
  40. 745 rem 893

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