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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 977 · 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. 1.8024 ÷ 8 =
  2. 2.73323 ÷ 97 =
  3. 3.447875 ÷ 997 =
  4. 4.7679 ÷ 8 =
  5. 5.96803 ÷ 88 =
  6. 6.12900 ÷ 88 =
  7. 7.412330 ÷ 997 =
  8. 8.258270 ÷ 989 =
  9. 9.63604 ÷ 997 =
  10. 10.52956 ÷ 89 =
  11. 11.15379 ÷ 98 =
  12. 12.490490 ÷ 998 =
  13. 13.350962 ÷ 897 =
  14. 14.4322 ÷ 89 =
  15. 15.96941 ÷ 998 =
  16. 16.423462 ÷ 998 =
  17. 17.923186 ÷ 989 =
  18. 18.80455 ÷ 88 =
  19. 19.550521 ÷ 989 =
  20. 20.41631 ÷ 96 =
  21. 21.925136 ÷ 897 =
  22. 22.40981 ÷ 89 =
  23. 23.70212 ÷ 88 =
  24. 24.47970 ÷ 89 =
  25. 25.87954 ÷ 98 =
  26. 26.7728 ÷ 96 =
  27. 27.18744 ÷ 96 =
  28. 28.2742 ÷ 8 =
  29. 29.32814 ÷ 98 =
  30. 30.69487 ÷ 98 =
  31. 31.153508 ÷ 989 =
  32. 32.47226 ÷ 89 =
  33. 33.30695 ÷ 89 =
  34. 34.18281 ÷ 97 =
  35. 35.95272 ÷ 98 =
  36. 36.821884 ÷ 988 =
  37. 37.47044 ÷ 96 =
  38. 38.3543 ÷ 8 =
  39. 39.581678 ÷ 989 =
  40. 40.246862 ÷ 989 =

Answer key

  1. 1003 rem 0
  2. 755 rem 88
  3. 449 rem 222
  4. 959 rem 7
  5. 1100 rem 3
  6. 146 rem 52
  7. 413 rem 569
  8. 261 rem 141
  9. 63 rem 793
  10. 595 rem 1
  11. 156 rem 91
  12. 491 rem 472
  13. 391 rem 235
  14. 48 rem 50
  15. 97 rem 135
  16. 424 rem 310
  17. 933 rem 449
  18. 914 rem 23
  19. 556 rem 637
  20. 433 rem 63
  21. 1031 rem 329
  22. 460 rem 41
  23. 797 rem 76
  24. 538 rem 88
  25. 897 rem 48
  26. 80 rem 48
  27. 195 rem 24
  28. 342 rem 6
  29. 334 rem 82
  30. 709 rem 5
  31. 155 rem 213
  32. 530 rem 56
  33. 344 rem 79
  34. 188 rem 45
  35. 972 rem 16
  36. 831 rem 856
  37. 490 rem 4
  38. 442 rem 7
  39. 588 rem 146
  40. 249 rem 601

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