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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 762 · 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. 1.97489 ÷ 88 =
  2. 2.38913 ÷ 89 =
  3. 3.5941 ÷ 8 =
  4. 4.26189 ÷ 98 =
  5. 5.57881 ÷ 97 =
  6. 6.219295 ÷ 997 =
  7. 7.989995 ÷ 988 =
  8. 8.73740 ÷ 89 =
  9. 9.23727 ÷ 98 =
  10. 10.1761 ÷ 8 =
  11. 11.443404 ÷ 897 =
  12. 12.44317 ÷ 98 =
  13. 13.866959 ÷ 897 =
  14. 14.24197 ÷ 897 =
  15. 15.89643 ÷ 97 =
  16. 16.97621 ÷ 97 =
  17. 17.557384 ÷ 989 =
  18. 18.162404 ÷ 989 =
  19. 19.30764 ÷ 96 =
  20. 20.484368 ÷ 997 =
  21. 21.15106 ÷ 98 =
  22. 22.148325 ÷ 897 =
  23. 23.269008 ÷ 897 =
  24. 24.52604 ÷ 98 =
  25. 25.27282 ÷ 96 =
  26. 26.27611 ÷ 96 =
  27. 27.9490 ÷ 8 =
  28. 28.462551 ÷ 997 =
  29. 29.39921 ÷ 89 =
  30. 30.274103 ÷ 998 =
  31. 31.23670 ÷ 89 =
  32. 32.22066 ÷ 88 =
  33. 33.990123 ÷ 989 =
  34. 34.291791 ÷ 989 =
  35. 35.75335 ÷ 96 =
  36. 36.432486 ÷ 897 =
  37. 37.328656 ÷ 897 =
  38. 38.27295 ÷ 998 =
  39. 39.1696 ÷ 8 =
  40. 40.612903 ÷ 998 =

Answer key

  1. 1107 rem 73
  2. 437 rem 20
  3. 742 rem 5
  4. 267 rem 23
  5. 596 rem 69
  6. 219 rem 952
  7. 1002 rem 19
  8. 828 rem 48
  9. 242 rem 11
  10. 220 rem 1
  11. 494 rem 286
  12. 452 rem 21
  13. 966 rem 457
  14. 26 rem 875
  15. 924 rem 15
  16. 1006 rem 39
  17. 563 rem 577
  18. 164 rem 208
  19. 320 rem 44
  20. 485 rem 823
  21. 154 rem 14
  22. 165 rem 320
  23. 299 rem 805
  24. 536 rem 76
  25. 284 rem 18
  26. 287 rem 59
  27. 1186 rem 2
  28. 463 rem 940
  29. 448 rem 49
  30. 274 rem 651
  31. 265 rem 85
  32. 250 rem 66
  33. 1001 rem 134
  34. 295 rem 36
  35. 784 rem 71
  36. 482 rem 132
  37. 366 rem 354
  38. 27 rem 349
  39. 212 rem 0
  40. 614 rem 131

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