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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 266 · 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. 1.56351 ÷ 88 =
  2. 2.48850 ÷ 897 =
  3. 3.30311 ÷ 97 =
  4. 4.88079 ÷ 998 =
  5. 5.77347 ÷ 89 =
  6. 6.454115 ÷ 997 =
  7. 7.75117 ÷ 97 =
  8. 8.63486 ÷ 89 =
  9. 9.350005 ÷ 988 =
  10. 10.1145 ÷ 8 =
  11. 11.928902 ÷ 997 =
  12. 12.16813 ÷ 89 =
  13. 13.4702 ÷ 8 =
  14. 14.796428 ÷ 998 =
  15. 15.40119 ÷ 89 =
  16. 16.586087 ÷ 897 =
  17. 17.14860 ÷ 96 =
  18. 18.2330 ÷ 8 =
  19. 19.196164 ÷ 998 =
  20. 20.705996 ÷ 998 =
  21. 21.18305 ÷ 988 =
  22. 22.53901 ÷ 89 =
  23. 23.124430 ÷ 989 =
  24. 24.9278 ÷ 8 =
  25. 25.78377 ÷ 96 =
  26. 26.43913 ÷ 96 =
  27. 27.922309 ÷ 997 =
  28. 28.18028 ÷ 96 =
  29. 29.38168 ÷ 98 =
  30. 30.40141 ÷ 96 =
  31. 31.17218 ÷ 89 =
  32. 32.7181 ÷ 97 =
  33. 33.81322 ÷ 97 =
  34. 34.4902 ÷ 88 =
  35. 35.51838 ÷ 96 =
  36. 36.28908 ÷ 96 =
  37. 37.7668 ÷ 8 =
  38. 38.93859 ÷ 88 =
  39. 39.5852 ÷ 8 =
  40. 40.265642 ÷ 989 =

Answer key

  1. 640 rem 31
  2. 54 rem 412
  3. 312 rem 47
  4. 88 rem 255
  5. 869 rem 6
  6. 455 rem 480
  7. 774 rem 39
  8. 713 rem 29
  9. 354 rem 253
  10. 143 rem 1
  11. 931 rem 695
  12. 188 rem 81
  13. 587 rem 6
  14. 798 rem 24
  15. 450 rem 69
  16. 653 rem 346
  17. 154 rem 76
  18. 291 rem 2
  19. 196 rem 556
  20. 707 rem 410
  21. 18 rem 521
  22. 605 rem 56
  23. 125 rem 805
  24. 1159 rem 6
  25. 816 rem 41
  26. 457 rem 41
  27. 925 rem 84
  28. 187 rem 76
  29. 389 rem 46
  30. 418 rem 13
  31. 193 rem 41
  32. 74 rem 3
  33. 838 rem 36
  34. 55 rem 62
  35. 539 rem 94
  36. 301 rem 12
  37. 958 rem 4
  38. 1066 rem 51
  39. 731 rem 4
  40. 268 rem 590

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