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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 298 · 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. 1.189881 ÷ 897 =
  2. 2.989258 ÷ 989 =
  3. 3.161542 ÷ 998 =
  4. 4.44163 ÷ 89 =
  5. 5.37871 ÷ 96 =
  6. 6.25625 ÷ 96 =
  7. 7.888687 ÷ 997 =
  8. 8.521884 ÷ 988 =
  9. 9.919008 ÷ 998 =
  10. 10.590247 ÷ 998 =
  11. 11.663502 ÷ 988 =
  12. 12.607288 ÷ 997 =
  13. 13.18572 ÷ 97 =
  14. 14.11754 ÷ 97 =
  15. 15.18217 ÷ 96 =
  16. 16.331316 ÷ 998 =
  17. 17.64830 ÷ 96 =
  18. 18.416487 ÷ 988 =
  19. 19.704623 ÷ 997 =
  20. 20.43610 ÷ 89 =
  21. 21.71465 ÷ 97 =
  22. 22.82212 ÷ 96 =
  23. 23.11417 ÷ 98 =
  24. 24.85184 ÷ 89 =
  25. 25.588681 ÷ 998 =
  26. 26.259732 ÷ 988 =
  27. 27.238176 ÷ 998 =
  28. 28.440221 ÷ 997 =
  29. 29.312428 ÷ 989 =
  30. 30.63431 ÷ 998 =
  31. 31.910076 ÷ 989 =
  32. 32.11031 ÷ 997 =
  33. 33.614456 ÷ 998 =
  34. 34.829130 ÷ 988 =
  35. 35.73211 ÷ 97 =
  36. 36.95840 ÷ 89 =
  37. 37.66219 ÷ 89 =
  38. 38.6633 ÷ 98 =
  39. 39.17084 ÷ 89 =
  40. 40.320796 ÷ 998 =

Answer key

  1. 211 rem 614
  2. 1000 rem 258
  3. 161 rem 864
  4. 496 rem 19
  5. 394 rem 47
  6. 266 rem 89
  7. 891 rem 360
  8. 528 rem 220
  9. 920 rem 848
  10. 591 rem 429
  11. 671 rem 554
  12. 609 rem 115
  13. 191 rem 45
  14. 121 rem 17
  15. 189 rem 73
  16. 331 rem 978
  17. 675 rem 30
  18. 421 rem 539
  19. 706 rem 741
  20. 490 rem 0
  21. 736 rem 73
  22. 856 rem 36
  23. 116 rem 49
  24. 957 rem 11
  25. 589 rem 859
  26. 262 rem 876
  27. 238 rem 652
  28. 441 rem 544
  29. 315 rem 893
  30. 63 rem 557
  31. 920 rem 196
  32. 11 rem 64
  33. 615 rem 686
  34. 839 rem 198
  35. 754 rem 73
  36. 1076 rem 76
  37. 744 rem 3
  38. 67 rem 67
  39. 191 rem 85
  40. 321 rem 438

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