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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 222 · 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. 1.45071 ÷ 89 =
  2. 2.447404 ÷ 997 =
  3. 3.251923 ÷ 997 =
  4. 4.307150 ÷ 989 =
  5. 5.61618 ÷ 97 =
  6. 6.7130 ÷ 89 =
  7. 7.500721 ÷ 989 =
  8. 8.38061 ÷ 97 =
  9. 9.472058 ÷ 997 =
  10. 10.720823 ÷ 897 =
  11. 11.172643 ÷ 988 =
  12. 12.60107 ÷ 998 =
  13. 13.960128 ÷ 989 =
  14. 14.82991 ÷ 97 =
  15. 15.62544 ÷ 89 =
  16. 16.984948 ÷ 989 =
  17. 17.46412 ÷ 96 =
  18. 18.61898 ÷ 96 =
  19. 19.18649 ÷ 998 =
  20. 20.20970 ÷ 97 =
  21. 21.810425 ÷ 989 =
  22. 22.40796 ÷ 88 =
  23. 23.566258 ÷ 997 =
  24. 24.24960 ÷ 97 =
  25. 25.11009 ÷ 97 =
  26. 26.3127 ÷ 8 =
  27. 27.71303 ÷ 97 =
  28. 28.48922 ÷ 88 =
  29. 29.89338 ÷ 89 =
  30. 30.3750 ÷ 89 =
  31. 31.95329 ÷ 97 =
  32. 32.261405 ÷ 897 =
  33. 33.19773 ÷ 88 =
  34. 34.36032 ÷ 96 =
  35. 35.81902 ÷ 89 =
  36. 36.40725 ÷ 89 =
  37. 37.47086 ÷ 96 =
  38. 38.237 ÷ 8 =
  39. 39.50945 ÷ 97 =
  40. 40.841611 ÷ 998 =

Answer key

  1. 506 rem 37
  2. 448 rem 748
  3. 252 rem 679
  4. 310 rem 560
  5. 635 rem 23
  6. 80 rem 10
  7. 506 rem 287
  8. 392 rem 37
  9. 473 rem 477
  10. 803 rem 532
  11. 174 rem 731
  12. 60 rem 227
  13. 970 rem 798
  14. 855 rem 56
  15. 702 rem 66
  16. 995 rem 893
  17. 483 rem 44
  18. 644 rem 74
  19. 18 rem 685
  20. 216 rem 18
  21. 819 rem 434
  22. 463 rem 52
  23. 567 rem 959
  24. 257 rem 31
  25. 113 rem 48
  26. 390 rem 7
  27. 735 rem 8
  28. 555 rem 82
  29. 1003 rem 71
  30. 42 rem 12
  31. 982 rem 75
  32. 291 rem 378
  33. 224 rem 61
  34. 375 rem 32
  35. 920 rem 22
  36. 457 rem 52
  37. 490 rem 46
  38. 29 rem 5
  39. 525 rem 20
  40. 843 rem 297

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