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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 667 · 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. 1.74568 ÷ 98 =
  2. 2.64698 ÷ 98 =
  3. 3.45631 ÷ 97 =
  4. 4.69830 ÷ 97 =
  5. 5.576007 ÷ 989 =
  6. 6.5692 ÷ 8 =
  7. 7.468971 ÷ 897 =
  8. 8.377281 ÷ 988 =
  9. 9.9086 ÷ 96 =
  10. 10.37869 ÷ 98 =
  11. 11.11363 ÷ 96 =
  12. 12.353744 ÷ 998 =
  13. 13.92029 ÷ 997 =
  14. 14.671366 ÷ 897 =
  15. 15.200972 ÷ 988 =
  16. 16.29964 ÷ 98 =
  17. 17.248376 ÷ 998 =
  18. 18.910109 ÷ 988 =
  19. 19.25808 ÷ 97 =
  20. 20.991315 ÷ 988 =
  21. 21.660334 ÷ 988 =
  22. 22.29145 ÷ 88 =
  23. 23.912687 ÷ 997 =
  24. 24.479040 ÷ 897 =
  25. 25.67178 ÷ 89 =
  26. 26.257702 ÷ 998 =
  27. 27.131801 ÷ 997 =
  28. 28.1537 ÷ 8 =
  29. 29.662063 ÷ 988 =
  30. 30.52452 ÷ 96 =
  31. 31.29956 ÷ 97 =
  32. 32.47792 ÷ 989 =
  33. 33.437400 ÷ 897 =
  34. 34.646773 ÷ 988 =
  35. 35.50994 ÷ 897 =
  36. 36.76469 ÷ 989 =
  37. 37.52811 ÷ 997 =
  38. 38.24425 ÷ 97 =
  39. 39.103382 ÷ 897 =
  40. 40.953516 ÷ 897 =

Answer key

  1. 760 rem 88
  2. 660 rem 18
  3. 470 rem 41
  4. 719 rem 87
  5. 582 rem 409
  6. 711 rem 4
  7. 522 rem 737
  8. 381 rem 853
  9. 94 rem 62
  10. 386 rem 41
  11. 118 rem 35
  12. 354 rem 452
  13. 92 rem 305
  14. 748 rem 410
  15. 203 rem 408
  16. 305 rem 74
  17. 248 rem 872
  18. 921 rem 161
  19. 266 rem 6
  20. 1003 rem 351
  21. 668 rem 350
  22. 331 rem 17
  23. 915 rem 432
  24. 534 rem 42
  25. 754 rem 72
  26. 258 rem 218
  27. 132 rem 197
  28. 192 rem 1
  29. 670 rem 103
  30. 546 rem 36
  31. 308 rem 80
  32. 48 rem 320
  33. 487 rem 561
  34. 654 rem 621
  35. 56 rem 762
  36. 77 rem 316
  37. 52 rem 967
  38. 251 rem 78
  39. 115 rem 227
  40. 1063 rem 5

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