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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 615 · 40 sums
TalentJR

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. 1.280391 ÷ 997 =
  2. 2.2967 ÷ 96 =
  3. 3.260229 ÷ 989 =
  4. 4.76791 ÷ 89 =
  5. 5.135272 ÷ 997 =
  6. 6.8992 ÷ 8 =
  7. 7.414904 ÷ 989 =
  8. 8.32708 ÷ 97 =
  9. 9.94261 ÷ 989 =
  10. 10.24246 ÷ 98 =
  11. 11.4097 ÷ 98 =
  12. 12.10656 ÷ 89 =
  13. 13.1197 ÷ 8 =
  14. 14.3666 ÷ 98 =
  15. 15.28130 ÷ 97 =
  16. 16.36441 ÷ 89 =
  17. 17.32991 ÷ 97 =
  18. 18.630359 ÷ 998 =
  19. 19.34408 ÷ 97 =
  20. 20.22261 ÷ 89 =
  21. 21.8656 ÷ 96 =
  22. 22.833340 ÷ 989 =
  23. 23.166073 ÷ 997 =
  24. 24.97494 ÷ 997 =
  25. 25.45831 ÷ 98 =
  26. 26.55208 ÷ 89 =
  27. 27.52951 ÷ 98 =
  28. 28.379393 ÷ 988 =
  29. 29.29851 ÷ 96 =
  30. 30.45206 ÷ 98 =
  31. 31.4617 ÷ 8 =
  32. 32.15917 ÷ 98 =
  33. 33.6047 ÷ 8 =
  34. 34.54827 ÷ 88 =
  35. 35.29501 ÷ 96 =
  36. 36.668272 ÷ 989 =
  37. 37.81270 ÷ 897 =
  38. 38.98069 ÷ 96 =
  39. 39.95622 ÷ 88 =
  40. 40.64832 ÷ 98 =

Answer key

  1. 281 rem 234
  2. 30 rem 87
  3. 263 rem 122
  4. 862 rem 73
  5. 135 rem 677
  6. 1124 rem 0
  7. 419 rem 513
  8. 337 rem 19
  9. 95 rem 306
  10. 247 rem 40
  11. 41 rem 79
  12. 119 rem 65
  13. 149 rem 5
  14. 37 rem 40
  15. 290 rem 0
  16. 409 rem 40
  17. 340 rem 11
  18. 631 rem 621
  19. 354 rem 70
  20. 250 rem 11
  21. 90 rem 16
  22. 842 rem 602
  23. 166 rem 571
  24. 97 rem 785
  25. 467 rem 65
  26. 620 rem 28
  27. 540 rem 31
  28. 384 rem 1
  29. 310 rem 91
  30. 461 rem 28
  31. 577 rem 1
  32. 162 rem 41
  33. 755 rem 7
  34. 623 rem 3
  35. 307 rem 29
  36. 675 rem 697
  37. 90 rem 540
  38. 1021 rem 53
  39. 1086 rem 54
  40. 661 rem 54

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