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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 755 · 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. 1.973310 ÷ 988 =
  2. 2.9120 ÷ 98 =
  3. 3.39484 ÷ 988 =
  4. 4.185474 ÷ 998 =
  5. 5.51389 ÷ 96 =
  6. 6.360581 ÷ 998 =
  7. 7.102512 ÷ 997 =
  8. 8.6699 ÷ 8 =
  9. 9.670226 ÷ 998 =
  10. 10.146019 ÷ 998 =
  11. 11.6046 ÷ 88 =
  12. 12.1787 ÷ 8 =
  13. 13.297985 ÷ 988 =
  14. 14.16372 ÷ 97 =
  15. 15.23197 ÷ 96 =
  16. 16.90001 ÷ 89 =
  17. 17.86755 ÷ 89 =
  18. 18.11665 ÷ 96 =
  19. 19.5327 ÷ 8 =
  20. 20.280271 ÷ 997 =
  21. 21.733779 ÷ 988 =
  22. 22.61024 ÷ 96 =
  23. 23.450843 ÷ 997 =
  24. 24.578343 ÷ 998 =
  25. 25.32112 ÷ 88 =
  26. 26.28196 ÷ 97 =
  27. 27.114395 ÷ 997 =
  28. 28.7064 ÷ 8 =
  29. 29.391518 ÷ 988 =
  30. 30.27023 ÷ 97 =
  31. 31.605486 ÷ 988 =
  32. 32.8019 ÷ 8 =
  33. 33.89736 ÷ 98 =
  34. 34.24920 ÷ 98 =
  35. 35.23790 ÷ 88 =
  36. 36.595871 ÷ 897 =
  37. 37.89528 ÷ 97 =
  38. 38.25329 ÷ 89 =
  39. 39.98069 ÷ 97 =
  40. 40.859833 ÷ 998 =

Answer key

  1. 985 rem 130
  2. 93 rem 6
  3. 39 rem 952
  4. 185 rem 844
  5. 535 rem 29
  6. 361 rem 303
  7. 102 rem 818
  8. 837 rem 3
  9. 671 rem 568
  10. 146 rem 311
  11. 68 rem 62
  12. 223 rem 3
  13. 301 rem 597
  14. 168 rem 76
  15. 241 rem 61
  16. 1011 rem 22
  17. 974 rem 69
  18. 121 rem 49
  19. 665 rem 7
  20. 281 rem 114
  21. 742 rem 683
  22. 635 rem 64
  23. 452 rem 199
  24. 579 rem 501
  25. 364 rem 80
  26. 290 rem 66
  27. 114 rem 737
  28. 883 rem 0
  29. 396 rem 270
  30. 278 rem 57
  31. 612 rem 830
  32. 1002 rem 3
  33. 915 rem 66
  34. 254 rem 28
  35. 270 rem 30
  36. 664 rem 263
  37. 922 rem 94
  38. 284 rem 53
  39. 1011 rem 2
  40. 861 rem 555

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