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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 516 · 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. 1.14369 ÷ 98 =
  2. 2.448345 ÷ 897 =
  3. 3.367252 ÷ 998 =
  4. 4.49278 ÷ 96 =
  5. 5.41514 ÷ 998 =
  6. 6.604559 ÷ 988 =
  7. 7.207373 ÷ 897 =
  8. 8.923080 ÷ 988 =
  9. 9.28611 ÷ 89 =
  10. 10.349507 ÷ 897 =
  11. 11.84611 ÷ 988 =
  12. 12.34182 ÷ 96 =
  13. 13.26763 ÷ 96 =
  14. 14.29340 ÷ 98 =
  15. 15.21710 ÷ 96 =
  16. 16.40591 ÷ 88 =
  17. 17.7265 ÷ 8 =
  18. 18.23204 ÷ 96 =
  19. 19.57074 ÷ 88 =
  20. 20.17492 ÷ 97 =
  21. 21.370122 ÷ 997 =
  22. 22.68541 ÷ 88 =
  23. 23.795241 ÷ 988 =
  24. 24.67515 ÷ 988 =
  25. 25.827354 ÷ 989 =
  26. 26.20886 ÷ 88 =
  27. 27.62153 ÷ 96 =
  28. 28.12818 ÷ 96 =
  29. 29.97233 ÷ 88 =
  30. 30.18518 ÷ 98 =
  31. 31.2882 ÷ 8 =
  32. 32.5568 ÷ 96 =
  33. 33.13736 ÷ 997 =
  34. 34.97679 ÷ 89 =
  35. 35.463546 ÷ 988 =
  36. 36.51106 ÷ 98 =
  37. 37.2629 ÷ 8 =
  38. 38.45580 ÷ 96 =
  39. 39.41747 ÷ 96 =
  40. 40.860851 ÷ 897 =

Answer key

  1. 146 rem 61
  2. 499 rem 742
  3. 367 rem 986
  4. 513 rem 30
  5. 41 rem 596
  6. 611 rem 891
  7. 231 rem 166
  8. 934 rem 288
  9. 321 rem 42
  10. 389 rem 574
  11. 85 rem 631
  12. 356 rem 6
  13. 278 rem 75
  14. 299 rem 38
  15. 226 rem 14
  16. 461 rem 23
  17. 908 rem 1
  18. 241 rem 68
  19. 648 rem 50
  20. 180 rem 32
  21. 371 rem 235
  22. 778 rem 77
  23. 804 rem 889
  24. 68 rem 331
  25. 836 rem 550
  26. 237 rem 30
  27. 647 rem 41
  28. 133 rem 50
  29. 1104 rem 81
  30. 188 rem 94
  31. 360 rem 2
  32. 58 rem 0
  33. 13 rem 775
  34. 1097 rem 46
  35. 469 rem 174
  36. 521 rem 48
  37. 328 rem 5
  38. 474 rem 76
  39. 434 rem 83
  40. 959 rem 628

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