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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 772 · 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. 1.958593 ÷ 988 =
  2. 2.26776 ÷ 96 =
  3. 3.46059 ÷ 98 =
  4. 4.677081 ÷ 997 =
  5. 5.97717 ÷ 998 =
  6. 6.2014 ÷ 8 =
  7. 7.194087 ÷ 997 =
  8. 8.27326 ÷ 89 =
  9. 9.299148 ÷ 988 =
  10. 10.657712 ÷ 989 =
  11. 11.13832 ÷ 88 =
  12. 12.936083 ÷ 988 =
  13. 13.17708 ÷ 88 =
  14. 14.16404 ÷ 88 =
  15. 15.995708 ÷ 989 =
  16. 16.6539 ÷ 8 =
  17. 17.6971 ÷ 8 =
  18. 18.652511 ÷ 897 =
  19. 19.7659 ÷ 89 =
  20. 20.604604 ÷ 998 =
  21. 21.64382 ÷ 88 =
  22. 22.30665 ÷ 96 =
  23. 23.4084 ÷ 96 =
  24. 24.819241 ÷ 998 =
  25. 25.93682 ÷ 96 =
  26. 26.163328 ÷ 988 =
  27. 27.1769 ÷ 8 =
  28. 28.644452 ÷ 988 =
  29. 29.301302 ÷ 988 =
  30. 30.27971 ÷ 98 =
  31. 31.163962 ÷ 989 =
  32. 32.595056 ÷ 897 =
  33. 33.194890 ÷ 989 =
  34. 34.2093 ÷ 8 =
  35. 35.101497 ÷ 989 =
  36. 36.107145 ÷ 988 =
  37. 37.62232 ÷ 98 =
  38. 38.571300 ÷ 997 =
  39. 39.70823 ÷ 88 =
  40. 40.98765 ÷ 97 =

Answer key

  1. 970 rem 233
  2. 278 rem 88
  3. 469 rem 97
  4. 679 rem 118
  5. 97 rem 911
  6. 251 rem 6
  7. 194 rem 669
  8. 307 rem 3
  9. 302 rem 772
  10. 665 rem 27
  11. 157 rem 16
  12. 947 rem 447
  13. 201 rem 20
  14. 186 rem 36
  15. 1006 rem 774
  16. 817 rem 3
  17. 871 rem 3
  18. 727 rem 392
  19. 86 rem 5
  20. 605 rem 814
  21. 731 rem 54
  22. 319 rem 41
  23. 42 rem 52
  24. 820 rem 881
  25. 975 rem 82
  26. 165 rem 308
  27. 221 rem 1
  28. 652 rem 276
  29. 304 rem 950
  30. 285 rem 41
  31. 165 rem 777
  32. 663 rem 345
  33. 197 rem 57
  34. 261 rem 5
  35. 102 rem 619
  36. 108 rem 441
  37. 635 rem 2
  38. 573 rem 19
  39. 804 rem 71
  40. 1018 rem 19

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