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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 966 · 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. 1.41262 ÷ 97 =
  2. 2.934579 ÷ 997 =
  3. 3.50613 ÷ 89 =
  4. 4.619003 ÷ 997 =
  5. 5.8448 ÷ 98 =
  6. 6.762115 ÷ 988 =
  7. 7.37544 ÷ 97 =
  8. 8.40073 ÷ 97 =
  9. 9.512433 ÷ 997 =
  10. 10.97588 ÷ 96 =
  11. 11.9174 ÷ 88 =
  12. 12.132303 ÷ 998 =
  13. 13.8897 ÷ 98 =
  14. 14.780566 ÷ 988 =
  15. 15.61932 ÷ 88 =
  16. 16.66340 ÷ 89 =
  17. 17.7110 ÷ 8 =
  18. 18.541402 ÷ 988 =
  19. 19.7910 ÷ 8 =
  20. 20.72168 ÷ 96 =
  21. 21.437 ÷ 8 =
  22. 22.89129 ÷ 89 =
  23. 23.75996 ÷ 98 =
  24. 24.7027 ÷ 8 =
  25. 25.171778 ÷ 998 =
  26. 26.42349 ÷ 98 =
  27. 27.194964 ÷ 998 =
  28. 28.14887 ÷ 89 =
  29. 29.4504 ÷ 98 =
  30. 30.98538 ÷ 98 =
  31. 31.441651 ÷ 988 =
  32. 32.19463 ÷ 98 =
  33. 33.73694 ÷ 96 =
  34. 34.57525 ÷ 988 =
  35. 35.872442 ÷ 989 =
  36. 36.927886 ÷ 897 =
  37. 37.56302 ÷ 989 =
  38. 38.96815 ÷ 98 =
  39. 39.1771 ÷ 89 =
  40. 40.53651 ÷ 97 =

Answer key

  1. 425 rem 37
  2. 937 rem 390
  3. 568 rem 61
  4. 620 rem 863
  5. 86 rem 20
  6. 771 rem 367
  7. 387 rem 5
  8. 413 rem 12
  9. 513 rem 972
  10. 1016 rem 52
  11. 104 rem 22
  12. 132 rem 567
  13. 90 rem 77
  14. 790 rem 46
  15. 703 rem 68
  16. 745 rem 35
  17. 888 rem 6
  18. 547 rem 966
  19. 988 rem 6
  20. 751 rem 72
  21. 54 rem 5
  22. 1001 rem 40
  23. 775 rem 46
  24. 878 rem 3
  25. 172 rem 122
  26. 432 rem 13
  27. 195 rem 354
  28. 167 rem 24
  29. 45 rem 94
  30. 1005 rem 48
  31. 447 rem 15
  32. 198 rem 59
  33. 767 rem 62
  34. 58 rem 221
  35. 882 rem 144
  36. 1034 rem 388
  37. 56 rem 918
  38. 987 rem 89
  39. 19 rem 80
  40. 553 rem 10

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